#  @electricalmaths ElectricalMath ElectricalMath posts on YouTube about math, solve, equivalent, how to the most. They currently have [------] followers and [---] posts still getting attention that total [------] engagements in the last [--] hours. ### Engagements: [------] [#](/creator/youtube::UCfdKoR0Q16gmFkdz1sdjfGw/interactions)  ### Mentions: [--] [#](/creator/youtube::UCfdKoR0Q16gmFkdz1sdjfGw/posts_active)  ### Followers: [------] [#](/creator/youtube::UCfdKoR0Q16gmFkdz1sdjfGw/followers)  ### CreatorRank: [-------] [#](/creator/youtube::UCfdKoR0Q16gmFkdz1sdjfGw/influencer_rank)  ### Social Influence **Social category influence** [countries](/list/countries) [social networks](/list/social-networks) **Social topic influence** [math](/topic/math) #680, [solve](/topic/solve) #292, [equivalent](/topic/equivalent) #79, [how to](/topic/how-to), [resistance](/topic/resistance) #1457, [systems](/topic/systems), [engineering](/topic/engineering) #1669, [integration](/topic/integration), [ohms](/topic/ohms), [fun](/topic/fun) **Top assets mentioned** [Diodes Inc (DIOD)](/topic/$diod) [Integral (ITGR)](/topic/integral) ### Top Social Posts Top posts by engagements in the last [--] hours "Integrating using a Trigonometric Substitution #maths #calculus #integration Solving an integral using trigonometric substitution or "trig sub" for short. #maths #mathematics #math #calculus #integration #integral #integrals #trigonometry math calculus integrals integration trigonometry mathematics integral math calculus integrals integration trigonometry mathematics integral" [YouTube Link](https://youtube.com/watch?v=5mhbhFLP8YY) 2025-02-07T14:00Z 13.6K followers, 62.1K engagements "Dont use L'Hpital's rule here Can you solve this limit problem #maths #calculus #engineering" [YouTube Link](https://youtube.com/watch?v=7WY6EA2JrE4) 2026-02-08T16:25Z 13.8K followers, 20.1K engagements "Kirchhoffs Circuit Laws Applied #electrical #electricalengineering #circuits Using Kirchhoffs laws coupled with Ohms law lets find all voltages and currents in this electric circuit. I have recently posted quick overviews on Kirchhoffs Current Law (KCL) and Kirchhoffs Voltage Law (KVL). In this circuit analysis exercise we apply them both. #electrical #electricalengineering #circuits #electronics #physics" [YouTube Link](https://youtube.com/watch?v=eVIj7syJ6rE) 2025-10-29T19:52Z 13.8K followers, 38.8K engagements "Maximum Power Transfer to a Load Formula Derivation Deriving the formula for maximum power transfer to a load resistance. This use case goes to show the great importance of the Thvenin equivalent as a circuit analysis tool. #electrical #electricalengineering #electronics #electronic #powersystems #powerengineering #math #calculus" [YouTube Link](https://youtube.com/watch?v=7pMMfUYZODs) 2025-05-24T09:21Z 13.5K followers, [---] engagements "How to Find the Thvenin Equivalent Circuit Finding the Thvenin equivalent circuit with respect to a pair of terminals. The Thvenin equivalent circuit is an extremely useful circuit analysis tool that every electrical engineering student must have a high degree of familiarity with. #electricalengineering #electronics #electrical #electronic #circuits #circuitanalysis" [YouTube Link](https://youtube.com/watch?v=S2EPFqTUgNk) 2025-04-27T16:28Z 13.2K followers, [----] engagements "You Can Solve This Integral in [--] Minute #maths #calculus #integration #integral Lets integrate this rational function in [--] minute. The standard approach is to factorise the denominator and use partial fraction decomposition which is not too bad. But factoring out the highest power of x instead of the lowest one actually leads to a clever substitution that simplifies the solution a great deal. Some food for thought: What characteristic of the polynomial in the denominator makes this substitution work Can you generalize this #math #calculus #integration #integral" [YouTube Link](https://youtube.com/watch?v=12F7ABdLf5Q) 2026-01-28T15:44Z 13.8K followers, 97.9K engagements "Solving a Linear System Using Gauss-Jordan Elimination #maths #algebra The Gauss-Jordan elimination method is a classic technique used in solving a system of linear equations. Lets use it to solve this linear algebra question. #math #algebra" [YouTube Link](https://youtube.com/watch?v=8dd6GEXj100) 2025-08-20T16:03Z 13.6K followers, 74.2K engagements "Integrating by Completing the Square #maths #calculus #integration #integral Integrating the reciprocal of an irreducible quadratic by completing the square and relating it to the known arctan result. #maths #calculus #integration #integral" [YouTube Link](https://youtube.com/watch?v=A-EQ6ecGgv4) 2026-01-01T16:15Z 13.8K followers, 32.6K engagements "Integration by Parts Formula Proof #maths #math #calculus A quick and fun proof of the integration by parts formula. #math #calculus #integral #integration #proof" [YouTube Link](https://youtube.com/watch?v=AcoZ1xORGEM) 2025-10-16T18:51Z 13.6K followers, [----] engagements "1-minute Integral Solution #maths #calculus #integral #integration Lets solve this integral in [--] minute. By using a clever substitution and interpreting the resulting integral as the area under the graph of the integrand we can solve this integral without even computing an antiderivative #math #calculus #integral #integration" [YouTube Link](https://youtube.com/watch?v=BPht2vXv1PY) 2026-02-15T19:23Z 13.8K followers, 14.6K engagements "Proving that the Volume of a Sphere is 4/3 * r3 #maths #calculus A quick and fun proof of the famous result that the volume of a sphere is 4/3 * pi * radius3. #mathematics #geometry #proof" [YouTube Link](https://youtube.com/watch?v=RZEvPROU1Ks) 2025-07-20T17:32Z 13.6K followers, 28K engagements "Thevenin Equivalent Circuit Worked Example #electricalengineering #electronics #physics A worked example of finding the Thevenin equivalent of an electrical circuit with respect to a pair of terminals. #electricalengineering #electricalengineer #electronics #physics #circuits" [YouTube Link](https://youtube.com/watch?v=WcwONMYU9wY) 2025-04-19T10:16Z 13.6K followers, 107.2K engagements "Thvenin Equivalent Circuits #electricalengineering #electronic #circuit The Thevenin equivalent is a very important circuit analysis tool that comes in handy in several applications: amplifiers electronics power system protection faults and more. #engineering #electricalengineering" [YouTube Link](https://youtube.com/watch?v=bIjRchT0r0k) 2025-02-19T14:24Z 13.6K followers, 26.1K engagements "Comparison Test Example Infinite Series #maths #calculus How do we use the Comparison Test to determine whether a series converges or diverges Lets see this through a worked example. #math #calculus" [YouTube Link](https://youtube.com/watch?v=kuvhJ4YYzkY) 2026-02-13T21:15Z 13.8K followers, 16.6K engagements "Inverse Laplace Transform Question #maths #engineering The Laplace transform is a powerful analysis technique used to solve differential equations and is therefore valuable in a wide variety of engineering applications. In this video we solve an inverse Laplace transform problem i.e find the function of time whose Laplace transform is the given function of s. #math #engineering #electricalengineering" [YouTube Link](https://youtube.com/watch?v=qAlEa3rrIxs) 2025-08-29T14:40Z 13.6K followers, 50.4K engagements "Convolution in the Laplace Transform #maths #engineering The convolution integral is a very handy tool in the study of the Laplace transform a very important topic in many math and engineering courses such as differential equations circuit analysis and control systems. #math #engineering #electricalengineering" [YouTube Link](https://youtube.com/watch?v=wl4El4A9B-w) 2025-11-12T16:59Z 13.8K followers, [----] engagements "RLC Circuit Design Problem: Energy Storage in DC Conditions #electrical #electricalengineering" [YouTube Link](https://youtube.com/watch?v=0T1yfHdvMTM) 2025-09-02T16:34Z 11.5K followers, [----] engagements "NAND Logic Gate #physics #electricalengineering #computerengineering The NAND gate is a negated AND gate it operates in the exact opposite way to the AND gate we saw in Part [--]. For this reason the NAND gate can be implemented using an AND gate followed by a NOT gate. #electricalengineering #computerscience #physics #computerengineering #digitalelectronics" [YouTube Link](https://youtube.com/watch?v=98Fz3YpvVUs) 2025-01-31T19:49Z 11.9K followers, [----] engagements "Fun Trigonometric Limit #math #calculus #limits" [YouTube Link](https://youtube.com/watch?v=RWJM0-Gb10A) 2025-08-16T19:51Z 11.6K followers, [----] engagements "Integrating sin(x2) #maths #integration #integral Integrating sin(x2) numerically using two methods: Taylor series and the trapezoidal rule. #mathematics #calculus #numerical" [YouTube Link](https://youtube.com/watch?v=_WW3uYpFR0s) 2025-03-03T16:21Z 11.4K followers, 18.3K engagements "Equivalent Resistance in a Circuit #electricalengineering #engineering #electronics Find the equivalent resistance between terminals A and B. Would you classify this problem as easy or moderately difficult #electricalengineering #physics" [YouTube Link](https://youtube.com/watch?v=fLjBB0ROe-k) 2025-03-22T13:52Z 13K followers, [----] engagements "Solving a Limit with Absolute Values #maths #calculus Lets solve this seemingly complicated limit problem involving absolute value signs. Understanding the piecewise definition of the absolute value function makes dealing with absolute values a very easy task. #math #calculus #limits" [YouTube Link](https://youtube.com/watch?v=xJxwtc3DQ2A) 2025-08-08T14:46Z 13K followers, [----] engagements "Euler's Formula Proof #maths #calculus #trigonometry #proof A one-minute proof of the famous Euler formula. #maths #mathematics #math #calculus #trigonometry #proof #exponential" [YouTube Link](https://youtube.com/watch?v=13EFQPNU7Gs) 2025-02-01T14:08Z 13.5K followers, 17.4K engagements "Integral of sin(lnx) / lnx #maths #calculus #integral #integration Sponsored by Mathos AI. Here's the link to this AI tool if you'd like to try it out: https://www.mathos.ai/inv=BGGIK8 How do we integrate sin(lnx) / lnx from [--] to [--] Well use a series expansion along with a fascinating integral result from a previous video to solve this challenging question. #math #calculus #integral #integration" [YouTube Link](https://youtube.com/watch?v=1_4l08D-S8U) 2025-10-25T15:20Z 13.8K followers, [----] engagements "Inverse Laplace Transform Using Partial Fractions #maths #engineering Lets find the inverse Laplace transform of this expression in [--] minutes. Well decompose it into partial fractions and then use the First Translation Theorem of the Laplace transform. #math #engineering" [YouTube Link](https://youtube.com/watch?v=2fHH1hOQE_Y) 2026-01-05T15:27Z 13.8K followers, [----] engagements "RMS Value of a Triangular Current Waveform #electrical #electricalengineering Why is the RMS value of a triangular wave equal to V / [--] and not [--] like a sine wave Lets break it down step by step using symmetry and smart integration. #electrical #electronics" [YouTube Link](https://youtube.com/watch?v=3pMsLzW4Z6E) 2026-02-10T18:24Z 13.8K followers, [----] engagements "Power Factor Correction in Electric Power Systems #electricalengineering Power factor (PF) is defined as the ratio of real (active) power P to apparent power S PF = P / S = cos where is the phase difference between voltage and current. A low power factor indicates that a significant portion of the current drawn from the source is reactive contributing no useful work but still increasing current flow in the system. Most industrial loads are inductive in nature such as induction motors and transformers. These loads draw a lagging current increasing the reactive power demand and causing the" [YouTube Link](https://youtube.com/watch?v=7h1tBp0A3G8) 2026-02-06T14:51Z 13.8K followers, [----] engagements "Control Systems Exercise: Steady-State Response of a Closed-Loop System #electricalengineering Lets solve this control systems exercise together: find the steady-state value of the step response of the system illustrated in the block diagram. Comprising the closed-loop system architecture are the following fundamental components that allow for self-correction: * The Controller (G_c): The brain that processes the signal. * The Process or Plant (G): The physical system we are trying to influence. * The Output Transducer (H): Often a sensor that measures the output and feeds it back to the" [YouTube Link](https://youtube.com/watch?v=8gNvHPDT7Go) 2026-02-02T16:42Z 13.8K followers, [----] engagements "Pythagorean Theorem Proof #math #smart A quick fun and visually-engaging deductive proof of the famous Pythagorean theorem. #maths #proof" [YouTube Link](https://youtube.com/watch?v=9fqz_bqzlzA) 2025-11-07T12:52Z 13.8K followers, [----] engagements "Capacitors in DC Circuits #electrical #electricalengineering To find the voltage across a capacitor in a DC circuit replace it with an open circuit and find the voltage across the open terminals. While we couldve used the node voltage method or mesh current method to solve this problem the method of tracing the voltage drops along the currents path instills in the viewer a good degree of familiarity with circuit fundamentals. #electricalengineering" [YouTube Link](https://youtube.com/watch?v=AlIVvMWf3iQ) 2026-01-26T17:57Z 13.8K followers, [----] engagements "Laplace Transform Using the Definition #maths #engineering Find the Laplace transform of the function f(t) shown on the graph. Lets use the integral definition of the Laplace transform and explain the solution to this problem step by step. #math #engineering" [YouTube Link](https://youtube.com/watch?v=AygRPAn8wAw) 2025-08-11T16:35Z 13.6K followers, 15.3K engagements "Exponential Fourier Series: Step-by-step Example Find the exponential Fourier series for this periodic square wave signal with a duty cycle of 50%. The Fourier series allows us to represent any periodic signal as a sum of sinusoids (or complex exponentials) each with its own amplitude and phase. This concept is at the core of signal analysis communications and control systems helping us understand how complex waveforms are built from simpler components. Lets walk through this example step by step to see how the math translates into the signals frequency-domain representation. #math" [YouTube Link](https://youtube.com/watch?v=BN4zoWw_2A0) 2025-11-15T18:42Z 13.8K followers, [---] engagements "Current Division in Electric Circuits #electricalengineering Current division is a fundamental principle in electric circuit analysis. Lets understand it intuitively and mathematically. #electricalengineering" [YouTube Link](https://youtube.com/watch?v=BX_2e-wDOCw) 2025-12-30T15:43Z 13.8K followers, [----] engagements "Power Tower Equation #maths #challenge #puzzle Can you solve this power tower equation in under a minute #math #challenge #puzzle" [YouTube Link](https://youtube.com/watch?v=DbugmrZWll4) 2026-02-04T14:32Z 13.8K followers, 10.7K engagements "XOR Logic Gate #electricalengineering #computerengineering #physics #computerscience The XOR logic gate or exclusive OR gate is very similar to the OR gate we saw in Part [--] in terms of the circuit symbol as well as operation. The XOR gate outputs a high signal if the inputs are different. The only difference between the XOR gate and the OR gate is that the XOR gate outputs a [--] if both inputs are [--]. #maths #physics #computerscience" [YouTube Link](https://youtube.com/watch?v=DrJiTzR6OS4) 2025-01-27T14:53Z 13.6K followers, [----] engagements "Op Amps Explained in [--] Minute #physics #electricalengineering #amplifier A one-minute overview of the op amp an important circuit element every electrical engineer must know. #engineering #electricalengineering #electricity #circuit #amplifier electrical engineering physics amplifiers op amps circuits circuit analysis operational amplifiers electrical engineering physics amplifiers op amps circuits circuit analysis operational amplifiers" [YouTube Link](https://youtube.com/watch?v=FLkEuBpDTn4) 2025-02-08T15:00Z 13.6K followers, 166.7K engagements "Equivalent Resistance Problem: Circular Path #electricalengineering Find the equivalent resistance between terminals X and Y. Lets break down this problem together. This question is fairly easy but it all boils down to understanding the role of the circular path or lack thereof. #electricalengineering #electronics" [YouTube Link](https://youtube.com/watch?v=HuMk4Wvu8Mw) 2025-11-28T15:17Z 13.8K followers, [----] engagements "Binary Numbers Explained in [--] Minute #math #maths #engineering #computer The binary numeral system uses only two characters [--] and [--] to represent numbers. The way it works is by assigning value based on the position of the digit much like the more common decimal system except that the base is [--] instead of [--]. #math #maths #engineering #electricalengineering #computer #computerengineering" [YouTube Link](https://youtube.com/watch?v=Hz5n43S6vdc) 2025-01-01T12:17Z [----] followers, [----] engagements "Circuit Analysis in the s-Domain #electricalengineering Circuit analysis using the Laplace transform. #electrical #electricalengineering #circuits" [YouTube Link](https://youtube.com/watch?v=I90lFwI1m-o) 2025-11-19T19:39Z 13.8K followers, [----] engagements "Equivalent Resistance of an Infinite Tower #electricalengineering #electronics Can you find the equivalent resistance of this infinite tower Lets solve this challenging problem using the Fundamental Theorem of Engineering. #electrical #electricalengineering #electronics" [YouTube Link](https://youtube.com/watch?v=IqappSXq5Q4) 2026-01-08T16:07Z 13.8K followers, [----] engagements "Implicit Differentiation Explained in [--] Minutes #maths #calculus Implicit differentiation is a very important calculus tool. This video explains implicit differentiation in [--] minutes. #math #calculus #smart #test #exam #learning" [YouTube Link](https://youtube.com/watch?v=KKf7CTLhQB0) 2025-04-21T15:18Z 13.6K followers, 30.9K engagements "Proving the Derivative of Arcsin(x)" [YouTube Link](https://youtube.com/watch?v=MIobArEPIP4) 2025-06-25T15:27Z 13.6K followers, 13.2K engagements "Fun Limit Problem #maths #calculus #limits Can you solve this limit problem Lets solve it one step at a time by applying basic algebra our knowledge of the famous trigonometric limit sin(x) / x as well as some limit properties. #math #calculus #limits #challenge" [YouTube Link](https://youtube.com/watch?v=QYqSK65zd_w) 2025-10-31T14:53Z 13.8K followers, [----] engagements "Maximum Power Transfer Question - Bridge Circuit Finding the maximum power that can be delivered to a resistor R in a bridge circuit. After my recent video deriving the general formula for maximum power transfer this video showcases a full example. A very instructive exercise that contains many fundamental topics in a circuit analysis course: Ohm's law series/parallel combinations current division nodal analysis and Thevenin equivalent circuits. #electrical #electricalengineering #engineering #physics #electronics #electronic #circuits #maths" [YouTube Link](https://youtube.com/watch?v=Qb_NS_t5Ysw) 2025-05-30T20:40Z 13.6K followers, [---] engagements "Tricky Geometry Puzzle #maths #geometry #smart Can you solve this geometry puzzle Dont fall for the trick #maths #geometry #puzzle #smart" [YouTube Link](https://youtube.com/watch?v=T3H2zxznQgc) 2026-01-12T17:39Z 13.8K followers, [----] engagements "Norton Equivalent Circuit - Worked Example #electricalengineering Find the Norton equivalent circuit with respect to terminals a and b. The Norton equivalent can be obtained from the Thevenin equivalent with a source transformation so the process of finding these equivalents is pretty much the same. Because this circuit involves a dependent source we cannot find the equivalent resistance by deactivating the sources. Instead well find the short-circuit current between terminals a and b and calculate the Thevenin (Norton) resistance by dividing the open-circuit voltage by this short-circuit" [YouTube Link](https://youtube.com/watch?v=TZlK4pzYI9M) 2025-09-30T18:18Z 13.6K followers, 21.8K engagements "How to Solve AC Circuits by Mesh Analysis Using mesh analysis lets find the labelled current in this RLC circuit fed by two sinusoidal voltages sources. Well first convert the circuit to its frequency domain equivalent by finding the impedances of the resistor capacitor and inductor as well as the phasor forms of the sources. Then well apply Kirchhoffs voltage law (KVL) to the two meshes to solve for the phasor expression of the unknown current. Finally we convert back to time domain to get the sinusoidal form of the target current. #electrical #electricalengineering #electronics" [YouTube Link](https://youtube.com/watch?v=VKzcT5AQeg0) 2026-02-01T17:24Z 13.8K followers, [---] engagements "Circuit Analysis RLC Circuit at DC Conditions #electrical #electricalengineering #electronics Circuit analysis question with a capacitor and inductor: find the labeled voltage and current under steady-state DC conditions. #electricalengineering #electrical #electricalengineer #electronics #electronic #electronicsengineering #physics #maths" [YouTube Link](https://youtube.com/watch?v=Vr-sbiyfk7s) 2025-05-14T12:42Z 13.6K followers, 23K engagements "MOSFET DC Circuit Analysis MOSFET circuits at DC: a full worked example. The objective of this exercise is to design the transistor circuit that is choose suitable values for the resistors connected to the drain and source terminals in order for the NMOS transistor to operate at a particular drain current and voltage. We can solve part of the problem using just Ohms law and simple circuit analysis but the remaining part needs knowledge of the operation mode of the transistor. #electrical #electricalengineering #electronics #electronicsengineering" [YouTube Link](https://youtube.com/watch?v=W_i2CnjTkGA) 2026-01-15T09:28Z 13.8K followers, [---] engagements "Solving a Circuit With an Op Amp AND Diode A circuit analysis problem involving an operational amplifier (op amp) and diode. Let's see how to solve it step by step together. Assuming the op amp is ideal we will take the voltage at the inverting terminal to be equal to that at the non-inverting terminal. Also an ideal op amp is assumed to have infinite input impedance so we will assume that zero current enters either terminal of the op amp. Using KCL we will arrive at a relationship between the diode current and output voltage. Then we will use the exponential model (the most accurate" [YouTube Link](https://youtube.com/watch?v=ZJjtE6T9SLE) 2025-12-20T18:15Z 13.8K followers, [---] engagements "Quick Geometry Puzzle #maths #geometry #puzzle Can you solve this geometry puzzle in seconds #math #smart #geometry #puzzle #challenge" [YouTube Link](https://youtube.com/watch?v=ZPADejJ8b10) 2025-11-17T16:54Z 13.8K followers, [----] engagements "Limit Problem: Eulers Number e #maths #engineering #calculus Can you solve this limit problem in one minute Well take a quick look at the engineering method of showing this limit evaluates to e as well as a more formal mathematical way. #math #calculus #engineering" [YouTube Link](https://youtube.com/watch?v=ZRoao5fAIiY) 2025-12-01T15:54Z 13.8K followers, [----] engagements "AC Circuit Analysis: Phasor Transformation #electrical #electricalengineering" [YouTube Link](https://youtube.com/watch?v=a0tvAZQbIpA) 2025-12-12T18:08Z 13.8K followers, [----] engagements "Math Olympiad Problem #maths #challenge Can you solve this math olympiad problem Lets have a go at it step by step together. While this exponential equation is not difficult enough for a high-level contest like the IMO (International Mathematical Olympiad) it does fit the category of a Junior or Intermediate Olympiad-style problem such as the AMC 10/12 in the US or the UKMT Intermediate Challenge. It is considered a competition problem because it cannot be solved using standard methods (like the quadratic formula) and instead requires algebraic insight pattern recognition or a clever" [YouTube Link](https://youtube.com/watch?v=aXTRSc4rbTc) 2025-12-27T14:41Z 13.8K followers, 13.9K engagements "Solving a Limit Using LHopitals Rule #maths #calculus A classic limit problem where LHpitals rule comes to the rescue #math #calculus #engineering #limits" [YouTube Link](https://youtube.com/watch?v=c2faC-LBzxw) 2025-12-20T18:05Z 13.8K followers, [----] engagements "How to Solve a Diode Circuit #electrical #electricalengineering #electronic #electronics To analyze a circuit involving a forward-biased diode you have [--] options: 1) The ideal model: treat the conducting diode as a short circuit. Very simple but not very practical. 2) The exponential model: the most accurate description of the diode operation but its severe nonlinearity makes it undesirable when rapid analysis is required. 3) The constant-voltage-drop model: the best of both worlds. Give the diode a fixed voltage drop of [---] V and proceed with regular circuit analysis. This captures the" [YouTube Link](https://youtube.com/watch?v=cOBAm_cUyts) 2025-06-29T15:41Z 13.6K followers, 15K engagements "Sum of First n Natural Numbers #maths #proof #shorts A quick proof that the sum of the first n natural numbers is n(n+1)/2. #math #proof #quick" [YouTube Link](https://youtube.com/watch?v=cca0aO_9jZg) 2025-11-21T17:26Z 13.8K followers, [----] engagements "Impulse Response of an LTI System #math #maths #engineering #electricalengineering The impulse response of an LTI system is the output of the system when the input is an impulse (delta) function. #math #maths #physics #engineering #electricalengineering #signalsandsystems" [YouTube Link](https://youtube.com/watch?v=diIpxYlC6rs) 2024-12-28T07:49Z 13.6K followers, 18.9K engagements "Inverse Hyperbolic Sine as a Logarithm #maths #calculus #engineering A quick proof of the logarithmic equivalence of the inverse hyperbolic sine function. A nice exercise that brings together inverse functions laws of indices quadratic equations properties of the exponential function and more #math #calculus #engineering" [YouTube Link](https://youtube.com/watch?v=e3dhEeGrtTs) 2025-12-15T16:14Z 13.8K followers, [----] engagements "Maximum Power Transfer - Circuit Analysis Exercise #electrical #electricalengineering #electronics Finding the value of the load resistance that will draw maximum power from the circuit feeding it. To solve a maximum power transfer problem we find the Thvenin equivalent circuit with respect to the load. For maximum power transfer the load resistance must match the Thvenin resistance of the circuit. Usually we would get this by finding the equivalent resistance of the circuit as seen by the load replacing independent voltage sources with short circuits and independent current sources with open" [YouTube Link](https://youtube.com/watch?v=fFuWBaUqpDs) 2025-12-25T16:09Z 13.8K followers, [----] engagements "Improper Integral of 1/xlnx #maths #calculus #integration #integral This integral looks innocent until you notice the singularity at x = [--]. Lets break down how to handle improper integrals step by step. Well rewrite the integral as a limit find the antiderivative and investigate whether the limit converges or diverges. Then in partnership with Mathos AI well understand the graphical behaviour of the integrand and the implication of its asymptotic nature near x = [--] on the convergence of the target area (or lack thereof). Check out Mathos AI using the link in my bio #math #calculus #integral" [YouTube Link](https://youtube.com/watch?v=fvlyfQ0ZdYs) 2025-11-26T16:13Z 13.8K followers, [----] engagements "tan(92/3): Math SAT Question #maths #math #satmath What is the value of tan(92/3) Lets solve this math SAT question step by step explaining how to use the periodicity of the tangent function to arrive at the answer. #math #trigonometry #satmath" [YouTube Link](https://youtube.com/watch?v=gxXO1MaHEZ4) 2025-10-27T16:41Z 13.8K followers, [----] engagements "Equivalent Capacitance Question #electrical #electricalengineering Find the equivalent capacitance between terminals a and b. You can combine capacitors in series and parallel much like resistors except its the other way around. For series capacitors: 1/Ceq = 1/C1 + 1/C2 + 1/C3 + For parallel capacitors: Ceq = C1 + C2 + C3 + In the case of only two series capacitors the formula can easily be algebraically manipulated to give: Ceq = (C1 * C2) / (C1 + C2) #electrical #electricalengineering #electronics" [YouTube Link](https://youtube.com/watch?v=hApvGpz4mYw) 2025-08-13T14:05Z 13.6K followers, [----] engagements "How to Solve Diode Circuit Problems Find the current flowing through the diode in this circuit. The diode has a forward-bias voltage of [---] V. In diode circuits like the one in this exercise it is not immediately obvious whether or not the diode is conducting. Therefore what we do in such cases is make an assumption proceed with the analysis and then check whether the solution verifies or contradicts our assumption. #electricalengineering #electronics" [YouTube Link](https://youtube.com/watch?v=iiJLqZDSL80) 2025-10-31T12:18Z 13.8K followers, [----] engagements "Tricky Equivalent Resistance Problem #electricalengineering #electronics Find the equivalent resistance between terminals a and b. Lets solve this problem step by step together. This question is fairly easy but the reason I classified it as moderate is because some students may struggle in making out which resistors are series/parallel when they are drawn in an unconventional way. #electricalengineering #electronics" [YouTube Link](https://youtube.com/watch?v=imCIQraD0MA) 2025-12-09T19:34Z 13.8K followers, [----] engagements "Equivalent Resistance Problem: Redundant Resistors #electrical #electricalengineering Find the equivalent resistance between terminals X and Y. Lets solve this problem step by step together. This problem is fairly easy but some may struggle in noticing the fact that two resistors are redundant. This is why I classified the problem as moderate in difficulty. #electrical #electricalengineering #resistance #electronics #circuits" [YouTube Link](https://youtube.com/watch?v=l9-9ZohDm3c) 2025-10-24T06:27Z 13.8K followers, [----] engagements "Can You Solve This Math Olympiad Question #maths #challenge Most people only find TWO solutions to this equation. Can you find the third one before the video ends 🧐 This classic algebra puzzle is a staple in math competitions because it looks simple but hides a ghost solution. Its all about case analysis: [--] When the exponents are zero. [--] When the bases are equal. [--] The one everyone forgets. when the bases are negatives of each other Where youll see problems like this: 📍 AMC [--] / AMC [--] (American Mathematics Competitions) 📍 AIME (American Invitational Mathematics Examination) 📍 Mathcounts" [YouTube Link](https://youtube.com/watch?v=ojClHrONChY) 2026-01-25T18:09Z 13.8K followers, [----] engagements "Clever Integral Solution Involving Three Substitutions #calculus #maths #integration Lets solve this seemingly challenging integral involving a logarithm and trigonometric functions of different angles. A clever solution involving three substitutions #math #calculus #integration #integrals" [YouTube Link](https://youtube.com/watch?v=sH9UzCAFFas) 2026-01-20T14:50Z 13.8K followers, 14.6K engagements "Arc Length Formula Proof #maths #mathematics #math #calculus #formula #proof A one-minute proof of the arc length formula. #maths #mathematics #math #calculus #proof" [YouTube Link](https://youtube.com/watch?v=sRuWpOEn6w8) 2025-01-18T16:51Z 13.6K followers, [----] engagements "What is a Diode #electricalengineering #electronics #physics The diode is a fundamental circuit component every electrical and electronics engineer must know but what do diodes do exactly This video is a quick overview of the working principle of diodes and their most important application. #electricalengineering #electronics #electrical #electronic #physics" [YouTube Link](https://youtube.com/watch?v=sYQqzwxDWYY) 2025-04-22T17:10Z 13.6K followers, [----] engagements "Volume of a Pyramid Proof #maths #calculus #geometry #proof Proving that the volume of a pyramid is 1/3 its base area * height. In general the volume of a solid is the product of its cross-sectional area and length. But a pyramids cross section is not uniform it varies from zero at the peak to maximum at the base. So well have to consider the average cross-sectional area. However the average cross-sectional area is NOT half the base area This would only be true if the cross section were varying linearly and although this may seem to be the case because of the pyramids straight edges it is the" [YouTube Link](https://youtube.com/watch?v=tbU8FEZoi-E) 2025-12-22T23:13Z 13.8K followers, [----] engagements "Absolute Value Inequalities #maths Absolute value inequalities can be tricky so lets have a look at a methodical approach you can use when solving such problems. In partnership with Mathos AI. Check out this powerful AI solver using the link in my bio. #math" [YouTube Link](https://youtube.com/watch?v=v6ebv5qu-7c) 2025-11-05T18:03Z 13.8K followers, [----] engagements "Kirchhoffs Voltage Law in [--] Minutes #electricalengineering #physics Kirchhoffs Voltage Law (KVL) explained in [--] minutes. KVL was first introduced in [----] by the German physicist Gustav Robert Kirchhoff and it is a direct consequence of the law of conservation of energy. KVL states that the algebraic sum of all voltages around any closed path (or loop) must equal zero. In other words the sum of voltage rises must be equal to the sum of voltage drops. Coupled with Ohms Law Kirchhoffs laws (KCL and KVL) allow us to solve most electric circuits i.e determine the voltage across and the current in" [YouTube Link](https://youtube.com/watch?v=vS2YdLrBo9Q) 2025-10-19T17:46Z 13.6K followers, [----] engagements "Math Olympiad Question: Algebraic Identity #maths #challenge Can you solve this math Olympiad question If x + 1/x = [--] what is the value of x3 + 1/x3 This type of algebraic problem is very common in early-round Olympiads and competitions worldwide including the American Mathematics Competitions (AMC) and various math contests. #math #challenge" [YouTube Link](https://youtube.com/watch?v=wEAuGc8NYrM) 2025-10-21T19:12Z 13.8K followers, [----] engagements "Superposition in Circuit Analysis #electricalengineering #electronics #physics The superposition principle is an important tool in circuit analysis. #electricalengineering #engineering #circuitanalysis" [YouTube Link](https://youtube.com/watch?v=wLeozWBqXc4) 2025-03-26T19:52Z 13.6K followers, 77.6K engagements "Proof of the Geometric Dot Product Formula #maths #geometry #proof Proving the famous dot product formula for the angle between two vectors. #math #geometry #proof" [YouTube Link](https://youtube.com/watch?v=wNuRY_W_aoQ) 2026-01-14T17:10Z 13.8K followers, [----] engagements "Steady-state Circuit Analysis Exercise #electricalengineering Given the sinusoidal voltage and current find the angular frequency in this circuit operating in steady state. #electricalengineering" [YouTube Link](https://youtube.com/watch?v=wjFbX6DaPZo) 2025-11-10T18:39Z 13.8K followers, [----] engagements "Delta-to-Wye (Y) Equivalent Circuits #electrical #electricalengineering DeltatoWye (Y) equivalent circuits: what how and why. [--]. What and Y networks actually are How the two interconnections differ and what it means for them to be electrically equivalent in terms of node relationships and terminal resistances. [--]. How the transformation formulas are derived A close look at the relationships between branch resistances and how we arrive at the Y equations from basic circuit principles. [--]. Why this matters The Y conversion is a powerful tool for simplifying otherwise complicated networks allowing" [YouTube Link](https://youtube.com/watch?v=xQKHqDkC8RA) 2025-11-24T18:05Z 13.8K followers, [----] engagements "Fourier Transform of Two-sided Decaying Exponential #maths #engineering Finding the Fourier transform of the two-sided decaying exponential exp(at). The Fourier transform is a powerful analytical tool studied in many electrical engineering courses such as circuit analysis signals and systems communication systems and digital signal processing. #math #engineering #electricalengineering" [YouTube Link](https://youtube.com/watch?v=yKGBPuMlplE) 2025-12-08T02:55Z 13.8K followers, [----] engagements "Transfer Function of a Series RLC Circuit #electrical #electricalengineering Lets find the transfer function of this series RLC circuit. The transfer function of a linear time-invariant (LTI) system (in this case the given circuit) is the ratio of the output signal (in this case the capacitor voltage) to the input signal (in this case the voltage source). The transfer function of an LTI system completely characterises it; it allows us to find the output of the system to an arbitrary input. For this reason you can think of the transfer function as a response-generating machine. To solve this" [YouTube Link](https://youtube.com/watch?v=ysbPI_uHVAo) 2026-01-10T18:42Z 13.8K followers, [----] engagements "Limit Definition of e: Invalid Proof #maths #calculus #proof Eulers number e is famously known by its limit definition: the limit as x approaches infinity of (1 + 1/x)x. Using calculus lets prove that this limit is indeed e. But this seemingly legitimate proof is actually invalid Can you spot the mistake in this proof #math #calculus #proof" [YouTube Link](https://youtube.com/watch?v=z-6PPkAlC4Y) 2025-12-04T15:42Z 13.8K followers, [----] engagements "Capacitor Energy Formula Derivation #physics #electricalengineering Deriving the formula for the energy stored in a capacitor using the power equation p = vi. #physics #maths #engineering" [YouTube Link](https://youtube.com/watch?v=KaHhb_WH5jc) 2025-02-16T14:07Z [---] followers, [---] engagements "Proving that the Derivative of arctan(x) is 1/(x2 + 1) #math #calculus Proving that the derivative of arctan(x) is 1/(x2 + 1). #maths #calculus #trigonometry #proof" [YouTube Link](https://youtube.com/watch?v=WZdL98MMlho) 2025-09-23T16:49Z [----] followers, [----] engagements "Wheatstone Bridge in [--] Minutes #electrical #electricalengineering The Wheatstone bridge is used in many circuit applications one of which is to measure an unknown resistance. The variable resistance is adjusted until no current flows through the galvanometer (which is basically a very sensitive ammeter). At this point the bridge is said to be balanced. Applying Kirchhoffs laws to the balanced Wheatstone bridge allows us to arrive at a simple equation for the unknown resistance. #electrical #electricalengineering #electronic #electronics #circuits" [YouTube Link](https://youtube.com/watch?v=XYK1r3-mTOE) 2025-10-14T20:11Z [----] followers, [----] engagements "NOT Logic Gate #maths #physics #electricalengineering A logic gate is a basic building block used to realize logical operations in digital circuits. A NOT gate also called an inverter inverts the logic state. If the input is high the output of a NOT gate will be low and vice versa. #electricalengineering #physics #maths #digital #circuit" [YouTube Link](https://youtube.com/watch?v=Zf-sAJpdOOU) 2025-01-17T15:41Z 11.2K followers, [---] engagements "Circuit Analysis Problem: Op Amps #electricalengineering #electrical #electronics Op amp circuit analysis problem: find the voltage across the [--] kohm resistor in this amplifier circuit. #electricalengineer #engineering #physics #maths" [YouTube Link](https://youtube.com/watch?v=_D6HrKTuJuw) 2025-07-04T12:12Z 11.2K followers, 17.6K engagements "Integral of (1 - sinx) dx Integrating the square root of [--] - sinx. #maths #calculus #integral #integration" [YouTube Link](https://youtube.com/watch?v=hZEq4_GG5O8) 2025-03-28T19:20Z 10.5K followers, [----] engagements "Applying Source Transformation to Find the Power Delivered by a Current Source #electrical Find the power delivered by the [--] A current source in this circuit. Normally I would suggest using the mesh current method (mesh analysis) to solve this problem but here I present the source transformation method. The reason I opted for this technique is that it sheds light on a very important point in circuit analysis: whenever you simplify or transform a circuit it helps a great deal to make sure that any labelled quantities would still be intact that is you would still explicitly see the labelled" [YouTube Link](https://youtube.com/watch?v=mtfjZy48zmc) 2025-09-13T14:51Z [----] followers, [----] engagements "Integral of ln(x) from [--] to [--] #maths #calculus #integration #integration A creative solution to the integral of ln(x) from [--] to [--]. #maths #calculus #integration #integral #math #mathematics #graphs" [YouTube Link](https://youtube.com/watch?v=qZEY5LO2gbs) 2025-01-26T14:57Z 11K followers, [----] engagements "Inverse Laplace Transform Using the Table #math #engineering Lets find the inverse Laplace transform of this expression in [--] minutes. Well use term-wise division and the linearity of the Laplace transform and its inverse. #math #engineering" [YouTube Link](https://youtube.com/watch?v=q_d3xUBEqmM) 2025-10-06T14:57Z 10.9K followers, 15.6K engagements "How to Find The Transfer Function for a Circuit #electrical #electricalengineering Find the transfer function for this circuit involving a current source resistor inductor and capacitor. The output voltage is taken to be across the capacitor. Lets solve this problem step by step together. #electrical #electricalengineering #engineering #circuits" [YouTube Link](https://youtube.com/watch?v=qcMtAXltMO4) 2025-08-27T15:14Z [----] followers, 10.2K engagements "The Squeeze Theorem Explained in [--] Minutes #maths #calculus The Squeeze Theorem also called the Sandwich Theorem or the Pinching Theorem is a key result in calculus used to evaluate limits of functions that are difficult to analyze directly. If a function is bounded between two others that approach the same limit it must converge to that limit as well. A fundamental tool for handling indeterminate forms and complex behaviors near a point. #math #calculus #limits" [YouTube Link](https://youtube.com/watch?v=rp_VyzEFH-w) 2025-07-30T19:34Z [----] followers, 11.9K engagements "Taylor and Maclaurin Series of cosh(x) Two methods to finding the Taylor/Maclaurin series of cosh(x) with the radius of convergence. The first method is the standard approach of finding the Taylor series of any function. The Maclaurin series can then be found by substituting a base of b = [--] and the radius of convergence is determined using the ratio test. The second method uses the exponential definition of the hyperbolic cosine. Because we know the Maclaurin series of the exponential function very well this method is much more straightforward. #maths #math #mathematics #calculus #formula" [YouTube Link](https://youtube.com/watch?v=w6CitvdYa7c) 2025-01-29T19:06Z [----] followers, [---] engagements "Ohms Law Explained in [--] Minute #electrical #electricalengineering Ohms law explained in one minute. When a voltage is applied across a conductor the size of the current that flows through it depends on the resistance said conductor offers to the flow of electrons. Physically this is due to collisions between the electrons and the atoms of the conductor. In [----] a German scientist named Georg Ohm found experimentally that in metal conductors current is directly proportional to voltage at a fixed temperature. This became known as Ohms law. Materials that obey Ohms law are called ohmic" [YouTube Link](https://youtube.com/watch?v=zDIqT5SGr1s) 2025-07-28T15:25Z 10.6K followers, [----] engagements "Energy of a Signal #electrical #electricalengineering The energy of a signal is a standard quantity that measures its strength and is a concept that arises frequently in electrical engineering courses like signals and systems and communication systems. Normally we view a signal x(t) as a voltage across a one-ohm resistor. Then the energy of x(t) would be the energy dissipated by this resistor. Lets take a look at a worked example of calculating the energy of a signal. #electrical #electricalengineering #math" [YouTube Link](https://youtube.com/watch?v=-bviadrytrg) 2025-09-09T15:39Z [----] followers, [----] engagements "How to Solve a Challenging Integral (Step by Step) Can you solve this challenging integral Lets explain how to solve it step by step together. The thought process presented in the solution of this integral is a key skill you need to develop to excel in your Calculus [--] course. #maths #calculus #integration #integral #algebra #math #smart" [YouTube Link](https://youtube.com/watch?v=-d_55IwfE9w) 2025-05-17T17:18Z [----] followers, [--] engagements "Limit at Infinity Worked Example #maths #mathematics #calculus #algebra The study of limits is a fundamental branch of calculus. Lets solve a limit exercise together. #maths #mathematics #calculus #limits #algebra #math" [YouTube Link](https://youtube.com/watch?v=0EMHoUKF1PA) 2025-05-13T09:51Z [----] followers, [----] engagements "Mesh Analysis with a Dependent Source Let's use mesh analysis to analyze this circuit involving a dependent source. Question: Find the power delivered by the dependent source in this circuit. #electrical #electricalengineering #electronic #electronics #circuitanalysis" [YouTube Link](https://youtube.com/watch?v=0Ls0YWGC-gQ) 2025-07-13T08:09Z [----] followers, [--] engagements "Can You Solve This Circuit Challenge Can you solve this circuit analysis challenge question Let's use mesh analysis to solve it and explain how to deal with a supermesh. #electrical #electricalengineering #electricalengineer #engineering #electronics #electronic #circuits" [YouTube Link](https://youtube.com/watch?v=0pKUdJyZWKM) 2025-08-20T10:24Z [----] followers, [---] engagements "An Integral with a Hidden Substitution #maths #calculus #integration Sometimes the substitution you need to solve an integral won't be glaring at you you may have to look closely to find it. #math #calculus #integration" [YouTube Link](https://youtube.com/watch?v=2AvGAqrjRvE) 2025-01-03T18:53Z [---] followers, [---] engagements "Solve This Integral For The Wi-Fi Password The Wi-Fi password is the first [--] digits of the answer to this definite integral. Can you solve it At first glance the integrand looks very complicated but by exploiting the symmetry of the interval of integration along with some graphical knowledge the task becomes very easy #maths #calculus #integration" [YouTube Link](https://youtube.com/watch?v=3d15pNsQbOM) 2025-07-04T12:45Z [----] followers, [----] engagements "Bridge Equivalent Resistance Problem Explained (2 methods) Find the equivalent resistance between terminals A and B. I would say this problem is easy but i classified it as moderate for two reasons: 1) The second method I presented may not be easy to follow for many. 2) Some people find it especially challenging when the pair of terminals is not on the edge of the circuit. #electrical #electricalengineering #engineering #electronics #electronic #physics" [YouTube Link](https://youtube.com/watch?v=51msgmu2dEo) 2025-06-02T07:19Z [----] followers, [---] engagements "RLC Bandpass Filter - Maximum Output In this RLC bandpass filter the voltage source can be varied over a broad range of frequencies while its amplitude is kept constant. At what frequency (kHz) does the output voltage have maximum amplitude Let's solve this problem step by step together going over concepts like voltage division phasors impedance magnitude/phase and resonant frequency. #electrical #electricalengineering #electronic #electronics #circuits" [YouTube Link](https://youtube.com/watch?v=5TBZ4zy3ydA) 2025-10-16T08:29Z [----] followers, [---] engagements "Proving that the Area of a Circle is r2 We all know that the area of a circle is r2 but let's prove this to be the case using a definite integral. There may be easier methods like integrating in polar coordinates but I wanted to take this chance to present a worked example of the great method of trigonometric substitution. #maths #calculus #integration #integral #proof #circle" [YouTube Link](https://youtube.com/watch?v=6RPJPepE2cc) 2025-05-12T10:44Z [----] followers, [----] engagements "Friction Force: Static vs Dynamic #physics #science #engineering #maths Friction is a force that always opposes motion. Lets have a look at the two types of friction: static and dynamic to help answer the question at the beginning of the video. #physics #science #maths #engineering #smart" [YouTube Link](https://youtube.com/watch?v=7745Yuosc3w) 2025-04-20T19:43Z [----] followers, [----] engagements "Quadratic Formula Proof #maths #mathematics #algebra #proof The famous quadratic formula proved in one minute. #maths #mathematics #math #algebra #quadraticequation #proof" [YouTube Link](https://youtube.com/watch?v=8EePZYPUXl8) 2025-01-13T20:00Z [---] followers, [----] engagements "A Beautiful Result Using The Gamma Function #maths #calculus #integration The integral from [--] to [--] of the natural log of x raised to the power of 2n where n is a non-negative integer. A beautiful result using the Gamma function #math #calculus #integral #integration #gamma" [YouTube Link](https://youtube.com/watch?v=98YZNgr91e0) 2025-09-01T16:48Z [----] followers, [--] engagements "The Sum of a Cosine and Sine #math #maths #physics #engineering In many engineering applications it is of interest to express the sum of a cosine and sine as a single sinusoid. #math #maths #mathematics #physics #engineering #electricalengineering" [YouTube Link](https://youtube.com/watch?v=9c-eWQkVbM4) 2024-12-26T19:33Z [---] followers, [---] engagements "Integrating sec(x) using a clever idea #maths #calculus #integration" [YouTube Link](https://youtube.com/watch?v=AcuFvXVKjWA) 2025-07-11T11:25Z [----] followers, [----] engagements "Key Passcode Puzzle Solved in [--] Minute #puzzle #maths #iqtest Lets solve the famous key passcode puzzle in [--] minute. #puzzle #maths #iqtest #iqtest #puzzlegame" [YouTube Link](https://youtube.com/watch?v=CbHIsknDIbQ) 2025-01-25T18:11Z [---] followers, [---] engagements "How to Solve Any Logarithmic Equation Can you solve this log equation Lets explain how to solve this question by demonstrating two methods to change the base of one logarithm to match the other. Once the bases match we can equate the inputs of the logs since logarithms are injective (one-to-one functions). #math" [YouTube Link](https://youtube.com/watch?v=D6TeRidh5Sc) 2025-09-22T15:08Z [----] followers, [--] engagements "Mesh Current Analysis - Worked Example The mesh current method is an important circuit analysis tool. Let's take a look at a worked example together. #electricalengineering #engineering #physics #electronics #circuits" [YouTube Link](https://youtube.com/watch?v=E3lhYqZAB4s) 2025-04-01T20:17Z [---] followers, [--] engagements "How to Convert Phasors to Sinusoids #electricalengineering Phasors are complex numbers that represent sinusoidal signals in terms of magnitude and phase. Phasors have very important applications in circuit analysis as they simplify solving AC circuits by converting differential equations into algebraic ones. #math #engineering #electrical #electricalengineering" [YouTube Link](https://youtube.com/watch?v=EkMrsSmicVs) 2025-09-08T14:52Z [----] followers, [----] engagements "Integral of sec(x)csc(x) / ln(tanx) #maths #calculus #integration" [YouTube Link](https://youtube.com/watch?v=EoP9U1RaLfE) 2025-08-25T15:07Z [----] followers, [----] engagements "Geometry Puzzle #maths #puzzle A very interesting geometry puzzle. The two circles each of radius [--] cm are tangential. The line is tangent to both circles and the circles barely touch the square at two adjacent vertices. Find the area of this square. There are alternative methods to solve this problem so if you have a different solution make sure to comment it below. #math #puzzle #geometry #algebra #smart" [YouTube Link](https://youtube.com/watch?v=FIvw3SOUAhs) 2025-08-26T19:35Z [----] followers, [---] engagements "Kirchhoffs Current Law in [--] Minute #electrical #electricalengineering Kirchhoffs Current Law (KCL) explained in [--] minute. KCL was first introduced in [----] by the German physicist Gustav Robert Kirchhoff and it is a direct consequence of the law of conservation of charge. KCL states that the algebraic sum of all the currents at any node in a circuit equals zero. In other words the sum of the currents entering a node must be equal to the sum of currents leaving that node. Coupled with Ohms Law Kirchhoffs laws (KCL and KVL) allow us to solve most electric circuits i.e determine the voltage" [YouTube Link](https://youtube.com/watch?v=FRYvNZOg5rc) 2025-10-04T15:22Z [----] followers, [----] engagements "Circuit Question: Lamp Brightness #electrical #electricalengineering If the lamps in this circuit are identical what happens to their brightness when the switch is closed While we can qualitatively describe the effect here I present a quantitative solution a mathematical one. The brightness of a lamp is quantified by the power dissipated so lets compare the power of each of the lamps before and after we open the switch. There are three formulas for electric power: P = V * I P = I2 * R and P = V2 / R. For this video to be more instructive I demonstrate the power calculation using two different" [YouTube Link](https://youtube.com/watch?v=FUGR78wpRy8) 2025-08-06T19:25Z [----] followers, [----] engagements "Find the Equivalent Resistance - Moderate Difficulty #physics #circuits #electronic" [YouTube Link](https://youtube.com/watch?v=Fnl8UpnBySc) 2025-03-08T12:18Z [---] followers, [---] engagements "Diode Design Problem: Choose R Design this diode circuit (choose an appropriate value for the resistor R) to achieve an output voltage of [---] V. Let's solve this problem together explaining how to use the exponential model to relate the current through a forward-biased diode to its voltage drop. #electrical #electricalengineering #diode #electronicservice" [YouTube Link](https://youtube.com/watch?v=IAPPBbGnPls) 2025-09-10T12:02Z [----] followers, [---] engagements "Mathematics A-level Question Calculus and Trigonometry #maths #calculus #math Lets solve this mathematics A Level question involving calculus and trigonometry. #mathematics #calculus #integral #trigonometry #smart #learning #exam #quiz #test" [YouTube Link](https://youtube.com/watch?v=IC6iGtzOT4M) 2025-05-21T16:54Z [----] followers, [----] engagements "Exponential Equation - Math Olympiad Question #maths Can you solve this exponential equation Lets have a go at this Math Olympiad question step by step together. #math #challenge" [YouTube Link](https://youtube.com/watch?v=IefEV7Dveu0) 2025-08-28T14:07Z [----] followers, [----] engagements "SAT Question: Line-Parabola Intersection #math #SAT Youll probably face a question like this on your SAT: find the value of the positive constant b such that the given line intersects the parabola at one point only. Lets solve this problem step by step together. I also demonstrate how you can solve the question using Desmos the famous graphing calculator which is integrated into the digital SAT. #math #sat" [YouTube Link](https://youtube.com/watch?v=Imk_8Xek01k) 2025-10-10T17:27Z [----] followers, [----] engagements "Proving an Expression is Always Positive #maths #math #algebra #calculus To prove that an expression is always positive the typical approach is to express it in the form of something squared (plus a positive number). The proof can also be done using calculus but in this case straightforward algebra does the job. #maths #maths #algebra #calculus #proof" [YouTube Link](https://youtube.com/watch?v=JT9D__4Zyp0) 2025-01-05T16:40Z [---] followers, [----] engagements "Trigonometric Integral Solved With a Nice Trick #maths #calculus #integration Solving the integral of [--] / (1 cosx) with the thought process explained. #math #calculus #integral" [YouTube Link](https://youtube.com/watch?v=Jj-8lQ1CYLM) 2025-07-07T14:58Z [----] followers, [----] engagements "The Cosine and Sine in Terms of Complex Exponentials #math #maths #engineering Euler's formula establishes a fundamental relationship between complex exponentials and trigonometric functions. In electrical engineering it is very common to use Euler's formula to express the cosine and sine in terms of complex exponentials. #math #maths #physics #engineering #electricalengineering" [YouTube Link](https://youtube.com/watch?v=KD6XdV0C9k8) 2024-12-27T06:44Z [---] followers, [---] engagements "Cartesian to Polar Transformation (dx dy = r dr d) #maths #calculus #integration When we transform an integral from Cartesian to polar coordinates the differential terms dx dy become r dr d. This video explains why. #math #mathematics #integral" [YouTube Link](https://youtube.com/watch?v=KILHbTvST2s) 2025-03-14T21:43Z [---] followers, [---] engagements "How to Solve Double Integrals Part 1: Rectangular Regions Double integrals are an essential part of multivariable calculus. This video offers a step-by-step explanation of how to solve double integrals over rectangular regions. #maths #mathematics #calculus #integration #integral #multivariablecalculus" [YouTube Link](https://youtube.com/watch?v=KRO07avo5BA) 2025-04-24T15:45Z [----] followers, [--] engagements "Op Amp Challenge Question Find the output voltage of this amplifier circuit consisting of three cascaded op amps. Let's solve this problem step by step #electrical #electricalengineering #electronic #electronics" [YouTube Link](https://youtube.com/watch?v=LBXlp0kR3GQ) 2025-08-31T09:59Z [----] followers, [---] engagements "Circuit Analysis Question #electricalengineering #electronics #electrical This circuit analysis question demonstrates the importance of understanding the fundamentals of voltage and current. #engineering #physics #electrical #electronic #electronics #electricalengineering" [YouTube Link](https://youtube.com/watch?v=PAie86Yel7w) 2025-04-28T15:56Z [----] followers, [---] engagements "Electrical Fuses Explained in [--] Minute #electrical #electricalengineering #electricity A fuse is a safety device installed in electrical circuits to protect them from overcurrents. In just [--] minute lets explain how they work with an example. #electrical #electricalengineering #electronics #electronic #physics" [YouTube Link](https://youtube.com/watch?v=Pw2KGJ2fTiA) 2025-07-23T05:02Z [----] followers, [----] engagements "Op Amp Circuit Question #electricalengineering #electrical #electronic #electronics Op amp question: Find the output voltage assuming the amplifier is ideal. #electrical #electricalengineering #electronics #electronic #electronicsengineering #circuit" [YouTube Link](https://youtube.com/watch?v=PwJWvlnKUTM) 2025-05-04T14:16Z [----] followers, [----] engagements "A Neat Integration Trick #maths #calculus #integration Solving the integral of 1/(1+ex). The clever idea used in solving this integral comes up in many other integrals so it's a good idea to familiarize yourself with it. #math #maths #calculus #integration #differentiation #derivatives" [YouTube Link](https://youtube.com/watch?v=Qp5Py3pkUZg) 2024-12-30T13:09Z [---] followers, [---] engagements "Calculus Challenge Question #maths #calculus Can you solve this calculus challenge question A very fun problem that involves inverse functions derivatives and the chain rule as well as the Fundamental Theorem of Calculus (Part 1). #math #calculus #challenge" [YouTube Link](https://youtube.com/watch?v=T1CcUbfeJaI) 2025-07-25T14:27Z [----] followers, [----] engagements "Can you solve this limit problem #maths #calculus" [YouTube Link](https://youtube.com/watch?v=UgpKI0g0Aag) 2025-07-03T17:13Z [----] followers, [----] engagements "Integral of Odd Power of Cosine #maths #calculus #integration #integral #trignometry To integrate an odd power of a cosine or sine take the odd term out and let that term along with dx be du. Find u. Then express the even power that remains in terms of u by using the fundamental trigonometric identity cos2 + sin2 = [--]. The result will be an algebraic expression that is relatively easy to integrate. #maths #math #mathematics #calculus #integration #integral #trigonometry" [YouTube Link](https://youtube.com/watch?v=W4WOFC-pVw8) 2025-01-12T09:50Z [---] followers, [---] engagements "AC Circuit Analysis Using Phasors Find the output voltage v(t) in this RLC circuit. The input voltage is 10cos(t) V. We'll use the phasor transform technique transforming this time-domain circuit into its frequency-domain equivalent. We'll find the impedance of each component: resistors inductor and capacitor and proceed with regular circuit analysis to obtain the phasor output voltage V. Then we'll transform it back to time domain to get the desired sinusoidal output v(t). #electrical #electricalengineering #electricalengineer #circuits" [YouTube Link](https://youtube.com/watch?v=WfpK8YZKAvw) 2025-10-02T16:02Z [----] followers, [---] engagements "A Challenging Integral and a Creative Solution A creative solution to a challenging integral: the integral of ln(sin x) from [--] to /2. #maths #mathematics #calculus #integration #integral #challenge" [YouTube Link](https://youtube.com/watch?v=XsrjvYBIHFw) 2025-03-20T20:51Z [---] followers, [---] engagements "Proving that a Tangent to a Circle is Perpendicular to its Radius #maths #calculus A fun and quick proof using calculus that a tangent to a circle is always perpendicular to its radius at the point of tangency. #math #calculus #geometry #proof" [YouTube Link](https://youtube.com/watch?v=ZdYngfiFQxo) 2025-07-01T19:06Z [----] followers, [----] engagements "Is the Capacitor a Linear Circuit Element Full Explanation Are capacitors linear This seems to be a tricky question for many. I recently posted a poll on Instagram stories and the result was almost a 50/50 split Let's understand the current-voltage characteristic of the ideal capacitor and conclude that it is indeed linear. #electrical #electricalengineering #electronic #electronics" [YouTube Link](https://youtube.com/watch?v=aFNchw6rjpA) 2025-06-28T08:39Z [----] followers, [--] engagements "Complex Numbers Explained in [--] Minute: The Imaginary Unit i #maths #mathematics #math Complex numbers explained in one minute. Part 1: The imaginary unit i. This video explains what the number i means how to write the square root of any negative number in terms of i and how to find any integer power of i. #maths #mathematics #algebra #geometry #physics #engineering" [YouTube Link](https://youtube.com/watch?v=awkeanHWa7s) 2025-06-02T07:04Z [----] followers, [----] engagements "How to Solve Any Op Amp Circuit In this circuit analysis exercise we find the ratio of the output voltage to the input current source in an op amp circuit. The methodology demonstrated in this solution can be used to analyze any ideal op amp circuit. #electrical #engineering #electricalengineering #electronics #electronicsengineering #physics #electronic #" [YouTube Link](https://youtube.com/watch?v=eXs2atVvISA) 2025-06-15T07:11Z [----] followers, [--] engagements "XNOR Logic Gate #physics #electricalengineering #boolean The seventh and final logic gate the XNOR gate. Let me know what you'd like to see next in the series #physics #electricalengineering #computerscience #boolean #logical" [YouTube Link](https://youtube.com/watch?v=fmQvyl8l4rM) 2025-02-11T18:35Z [---] followers, [---] engagements "Equivalent Resistance Calculation Easy Problem Find the equivalent resistance between terminals A and B. An easy problem but a great one to demonstrate series/parallel simplification techniques. #electrical #electricalengineering #electronics #electronic #physics" [YouTube Link](https://youtube.com/watch?v=fueZFy-dZbI) 2025-05-06T09:27Z [----] followers, [---] engagements "Can you find the equivalent resistance between terminals a and b #electricalengineering" [YouTube Link](https://youtube.com/watch?v=gG5TvW2hSOk) 2025-07-09T17:04Z [----] followers, [----] engagements "How to Integrate tan3(x) Solving the integral of tan3(x) by rewriting tan(x) as sin(x) / cos(x). There are perhaps easier alternatives but it's a nice thought process to demonstrate. #maths #calculus #integral #integration #maths" [YouTube Link](https://youtube.com/watch?v=gZGYkggE7bg) 2025-05-02T07:27Z [----] followers, [---] engagements "Equivalent Resistance of a Cube (Two Methods) Find the equivalent resistance between A in B for this 3D cubic structure. My first "HARD" difficulty level equivalent resistance problem and one of my most requested videos I present two methods: tracking potential and tracking current. #electricalengineering #physics #electronics #circuits #engineering" [YouTube Link](https://youtube.com/watch?v=h7Kxon9hmNw) 2025-04-05T22:02Z [---] followers, [--] engagements "Can You Solve This Trigonometric Integral #maths #calculus #integration Can you solve this trigonometric integral question Lets take a look at two methods to solve it: one using the double angle identity for cosine and one using the double angle identity for sine. #math #calculus #trigonometry #integral #integration" [YouTube Link](https://youtube.com/watch?v=iRr9XwiebjE) 2025-10-02T16:21Z [----] followers, [---] engagements "An Integral with a Hidden Substitution #maths #calculus #integration Sometimes the substitution you need to solve an integral won't be glaring at you you may have to look closely to find it. #math #calculus #integration" [YouTube Link](https://youtube.com/watch?v=iSmiuw5mbMo) 2025-01-03T18:42Z [---] followers, [--] engagements "Passive vs Active Elements in Electric Circuits #electrical #electricalengineering #electronics In electric circuits there are two types of elements: passive and active. Lets understand the difference between them in [--] minute. #electrical #electricalengineer #electronic" [YouTube Link](https://youtube.com/watch?v=js0Xowaz1Ok) 2025-07-02T17:57Z [----] followers, [----] engagements "Nodal Analysis Question - Step by Step Explanation Using nodal analysis (the node-voltage method) to find the power dissipated by a particular resistor in a circuit. Solving the same problem using mesh analysis left as a challenge for the viewer. #electricalengineering #physics #engineering #circuitanalysis" [YouTube Link](https://youtube.com/watch?v=kAnAjzkhUxo) 2025-04-14T12:08Z [---] followers, [--] engagements "Resultant Vector Magnitude Calculation #math #physics #engineering Find the magnitude of the resultant of the three coplanar vectors A B and C. Lets resolve the vectors into their horizontal and vertical components and understand how to calculate the length of the resultant vector using the Pythagorean theorem. #maths #physics #engineering" [YouTube Link](https://youtube.com/watch?v=mDje1mBMJp8) 2025-09-29T14:38Z [----] followers, [----] engagements "Node Voltage Method - Challenging Problem Using nodal analysis find the power dissipated in the [--] resistor in the circuit shown. Definitely not the easiest method to solve this circuit exercise but if you had to use the node voltage method this is how you would do it #electrical #electricalengineering #electronics #electronic #circuitanalysis" [YouTube Link](https://youtube.com/watch?v=nV0uhakg8oc) 2025-07-28T07:36Z [----] followers, [---] engagements "Can You Solve This Differential Equation #maths #calculus Can you solve this differential equation Using laws of indices and the Leibniz notation for the derivative we separate the variables and integrate both sides. Whats your take on the challenge question Can you express the answer in explicit from #math #calculus #integral #differentialequations" [YouTube Link](https://youtube.com/watch?v=r2WT0HHDMig) 2025-10-12T15:08Z [----] followers, [---] engagements "Complex Number Representation: Cartesian/Rectangular Form #maths #mathematics #math" [YouTube Link](https://youtube.com/watch?v=snQWIpcenKs) 2025-06-07T19:07Z [----] followers, [--] engagements "A Clever Substitution to Solve a Limit Question #math #calculus Can you solve this limit problem Multiplying the numerator and denominator by the radical conjugate does not help on this occasion. What does work though is a clever substitution #maths #calculus" [YouTube Link](https://youtube.com/watch?v=tegiKRZ0fn4) 2025-06-18T15:54Z [----] followers, [----] engagements "Separable Differential Equation Solved Step by Step #maths #calculus #differentialequation Lets solve this separable differential equation step by step together. A nice exercise which encompasses algebraic manipulation integration by parts and the concept of explicit vs implicit solutions. #math #calculus #integration #integral #ode" [YouTube Link](https://youtube.com/watch?v=tfZmcprbVPc) 2025-09-11T17:07Z [----] followers, [----] engagements "The Real Difference between DC and AC #electricity #physics #engineering When people think DC they usually visualize a straight-line graph. The reality is that any waveform with only one polarity is DC. In a circuit this means that the current only flows in one direction. On the contrary when people think AC they usually visualize a sine or cosine. The reality is that any waveform with two polarities is AC. In a circuit this means that the current switches direction every half cycle. #electricalengineering" [YouTube Link](https://youtube.com/watch?v=tw_X2ReCYU4) 2024-12-29T07:35Z [---] followers, [---] engagements "Why is Projectile Motion Parabolic #math #physics #proof Mathematical proof that projectile motion is parabolic. We resolve motion into horizontal and vertical components ignore air resistance and use the kinematic equations of motion under constant acceleration due to gravity. With this we demonstrate why the trajectory forms a parabola. The proof also connects to key results such as time of flight maximum height and horizontal range. #math #physics #engineering #proof" [YouTube Link](https://youtube.com/watch?v=uEcJZCUFDyg) 2025-09-03T17:24Z [----] followers, [---] engagements "Calculus Related Rates Problem A calculus topic many students have a hard time with is related rates. The difficulty does not lie in the actual calculus but rather in the modeling of the problem. In this video I go through a full worked example demonstrating the thought process needed to solve calculus problems pertaining to related rates: "A trough of length [--] m has a uniform cross-section which is a trapezium with side lengths shown. Water leaks from the bottom of the trough at a constant rate of [---] m3 per minute. Find the rate at which the water level is falling at the instant when the" [YouTube Link](https://youtube.com/watch?v=ut6Hpl0vCWw) 2025-06-07T10:16Z [----] followers, [--] engagements "Combining Voltage Sources in Electric Circuits #electricalengineering #electrical #electronic In electric circuits voltage sources in series with one another can be combined together. Parallel setups are only possible if the two voltage sources are equivalent. #electrical #electricalengineering #electronics #electronic #circuits #engineering" [YouTube Link](https://youtube.com/watch?v=w3pYLa-hiH4) 2025-05-07T21:11Z [----] followers, [---] engagements "Challenging Limit Problem #maths #calculus Can you solve this limit problem Well use the property of logarithms which allows us to bring the power of cot(x) down as a factor and then apply the LHospital rule to evaluate the limit. #math #calculus" [YouTube Link](https://youtube.com/watch?v=wtGGcP41bUA) 2025-07-13T20:11Z [----] followers, [----] engagements "Solving an Improper Integral and Graphing the Result #calculus #integration #integral Solving the improper integral of 1(1 x) and illustrating the divergent result graphically. #maths #mathematics #math #calculus #integration #integral #test #exam #smart #learning" [YouTube Link](https://youtube.com/watch?v=x7i73frq2OM) 2025-05-09T12:47Z [----] followers, [----] engagements "Quick Trigonometric Puzzle #math #trigonometry #puzzle A fun and quick trigonometric exercise: if sin + cos = [--] what is sin cos #math #trigonometry #puzzle" [YouTube Link](https://youtube.com/watch?v=xiZJKC-3Ry0) 2025-09-04T15:50Z [----] followers, [----] engagements "Circuit Analysis Question: Load Current Calculation #electrical #circuits Find the load current of this circuit for a load resistance of [--] ohms [--] ohms and [--] ohms. While we can perform the complete analysis repeatedly for each load it would be more effective to consider the Thvenin equivalent of the circuit with respect to the pair of terminals to which the load is connected. Then we would arrive at a simple formula that allows us to find the load current for several load resistances with great ease. #electrical #electricalengineering #electricalengineer #circuits" [YouTube Link](https://youtube.com/watch?v=yMMGdlzYpoE) 2025-09-25T20:25Z [----] followers, [----] engagements "Ideal Op Amp Circuit Challenge Question #electrical #electricalengineering Lets solve this ideal op amp circuit question. #electronics #electronic #electronicsengineering" [YouTube Link](https://youtube.com/watch?v=yqL_QMs8tb8) 2025-07-12T14:49Z [----] followers, [----] engagements "Odd/Even Functions Explained in [--] Minute #maths #algebra #calculus Odd functions and even functions explained in [--] minute. #mathematics #maths #integration" [YouTube Link](https://youtube.com/watch?v=z3lbsNqS9YE) 2025-04-17T15:15Z [----] followers, [----] engagements "An Insane Integral Feynman's Technique The most difficult integral you will see today solved using Feynman's Technique (differentiating under the integral sign) a famous integration method endeared to everyone who loves calculus. #maths #calculus #integration #integral" [YouTube Link](https://youtube.com/watch?v=zNPqNtSwhcc) 2025-04-11T07:47Z [---] followers, [---] engagements "Nodal Analysis Explained #electricalengineering #circuitanalysis Using nodal analysis find the voltages at all nonreference nodes in this circuit. Well assign a reference node (ground) assume current directions throughout the circuit and apply KCL at each essential node. This gives us a system of equations that we can solve simultaneously for all unknown voltages. #electrical #electricalengineering #electronics #electronicsengineering" [YouTube Link](https://youtube.com/watch?v=jony-_rV4Zs) 2026-02-17T16:33Z 13.8K followers, [----] engagements "1-minute Integral Solution #maths #calculus #integral #integration Lets solve this integral in [--] minute. By using a clever substitution and interpreting the resulting integral as the area under the graph of the integrand we can solve this integral without even computing an antiderivative #math #calculus #integral #integration" [YouTube Link](https://youtube.com/watch?v=BPht2vXv1PY) 2026-02-15T19:23Z 13.8K followers, 14.6K engagements "Comparison Test Example Infinite Series #maths #calculus How do we use the Comparison Test to determine whether a series converges or diverges Lets see this through a worked example. #math #calculus" [YouTube Link](https://youtube.com/watch?v=kuvhJ4YYzkY) 2026-02-13T21:15Z 13.8K followers, 16.6K engagements "RMS Value of a Triangular Current Waveform #electrical #electricalengineering Why is the RMS value of a triangular wave equal to V / [--] and not [--] like a sine wave Lets break it down step by step using symmetry and smart integration. #electrical #electronics" [YouTube Link](https://youtube.com/watch?v=3pMsLzW4Z6E) 2026-02-10T18:24Z 13.8K followers, [----] engagements "Dont use L'Hpital's rule here Can you solve this limit problem #maths #calculus #engineering" [YouTube Link](https://youtube.com/watch?v=7WY6EA2JrE4) 2026-02-08T16:25Z 13.8K followers, 20.1K engagements "Power Factor Correction in Electric Power Systems #electricalengineering Power factor (PF) is defined as the ratio of real (active) power P to apparent power S PF = P / S = cos where is the phase difference between voltage and current. A low power factor indicates that a significant portion of the current drawn from the source is reactive contributing no useful work but still increasing current flow in the system. Most industrial loads are inductive in nature such as induction motors and transformers. These loads draw a lagging current increasing the reactive power demand and causing the" [YouTube Link](https://youtube.com/watch?v=7h1tBp0A3G8) 2026-02-06T14:51Z 13.8K followers, [----] engagements "Power Tower Equation #maths #challenge #puzzle Can you solve this power tower equation in under a minute #math #challenge #puzzle" [YouTube Link](https://youtube.com/watch?v=DbugmrZWll4) 2026-02-04T14:32Z 13.8K followers, 10.7K engagements "Control Systems Exercise: Steady-State Response of a Closed-Loop System #electricalengineering Lets solve this control systems exercise together: find the steady-state value of the step response of the system illustrated in the block diagram. Comprising the closed-loop system architecture are the following fundamental components that allow for self-correction: * The Controller (G_c): The brain that processes the signal. * The Process or Plant (G): The physical system we are trying to influence. * The Output Transducer (H): Often a sensor that measures the output and feeds it back to the" [YouTube Link](https://youtube.com/watch?v=8gNvHPDT7Go) 2026-02-02T16:42Z 13.8K followers, [----] engagements "How to Solve AC Circuits by Mesh Analysis Using mesh analysis lets find the labelled current in this RLC circuit fed by two sinusoidal voltages sources. Well first convert the circuit to its frequency domain equivalent by finding the impedances of the resistor capacitor and inductor as well as the phasor forms of the sources. Then well apply Kirchhoffs voltage law (KVL) to the two meshes to solve for the phasor expression of the unknown current. Finally we convert back to time domain to get the sinusoidal form of the target current. #electrical #electricalengineering #electronics" [YouTube Link](https://youtube.com/watch?v=VKzcT5AQeg0) 2026-02-01T17:24Z 13.8K followers, [---] engagements "You Can Solve This Integral in [--] Minute #maths #calculus #integration #integral Lets integrate this rational function in [--] minute. The standard approach is to factorise the denominator and use partial fraction decomposition which is not too bad. But factoring out the highest power of x instead of the lowest one actually leads to a clever substitution that simplifies the solution a great deal. Some food for thought: What characteristic of the polynomial in the denominator makes this substitution work Can you generalize this #math #calculus #integration #integral" [YouTube Link](https://youtube.com/watch?v=12F7ABdLf5Q) 2026-01-28T15:44Z 13.8K followers, 97.9K engagements "Capacitors in DC Circuits #electrical #electricalengineering To find the voltage across a capacitor in a DC circuit replace it with an open circuit and find the voltage across the open terminals. While we couldve used the node voltage method or mesh current method to solve this problem the method of tracing the voltage drops along the currents path instills in the viewer a good degree of familiarity with circuit fundamentals. #electricalengineering" [YouTube Link](https://youtube.com/watch?v=AlIVvMWf3iQ) 2026-01-26T17:57Z 13.8K followers, [----] engagements "Can You Solve This Math Olympiad Question #maths #challenge Most people only find TWO solutions to this equation. Can you find the third one before the video ends 🧐 This classic algebra puzzle is a staple in math competitions because it looks simple but hides a ghost solution. Its all about case analysis: [--] When the exponents are zero. [--] When the bases are equal. [--] The one everyone forgets. when the bases are negatives of each other Where youll see problems like this: 📍 AMC [--] / AMC [--] (American Mathematics Competitions) 📍 AIME (American Invitational Mathematics Examination) 📍 Mathcounts" [YouTube Link](https://youtube.com/watch?v=ojClHrONChY) 2026-01-25T18:09Z 13.8K followers, [----] engagements "Clever Integral Solution Involving Three Substitutions #calculus #maths #integration Lets solve this seemingly challenging integral involving a logarithm and trigonometric functions of different angles. A clever solution involving three substitutions #math #calculus #integration #integrals" [YouTube Link](https://youtube.com/watch?v=sH9UzCAFFas) 2026-01-20T14:50Z 13.8K followers, 14.6K engagements "MOSFET DC Circuit Analysis MOSFET circuits at DC: a full worked example. The objective of this exercise is to design the transistor circuit that is choose suitable values for the resistors connected to the drain and source terminals in order for the NMOS transistor to operate at a particular drain current and voltage. We can solve part of the problem using just Ohms law and simple circuit analysis but the remaining part needs knowledge of the operation mode of the transistor. #electrical #electricalengineering #electronics #electronicsengineering" [YouTube Link](https://youtube.com/watch?v=W_i2CnjTkGA) 2026-01-15T09:28Z 13.8K followers, [---] engagements "Proof of the Geometric Dot Product Formula #maths #geometry #proof Proving the famous dot product formula for the angle between two vectors. #math #geometry #proof" [YouTube Link](https://youtube.com/watch?v=wNuRY_W_aoQ) 2026-01-14T17:10Z 13.8K followers, [----] engagements "Tricky Geometry Puzzle #maths #geometry #smart Can you solve this geometry puzzle Dont fall for the trick #maths #geometry #puzzle #smart" [YouTube Link](https://youtube.com/watch?v=T3H2zxznQgc) 2026-01-12T17:39Z 13.8K followers, [----] engagements "Transfer Function of a Series RLC Circuit #electrical #electricalengineering Lets find the transfer function of this series RLC circuit. The transfer function of a linear time-invariant (LTI) system (in this case the given circuit) is the ratio of the output signal (in this case the capacitor voltage) to the input signal (in this case the voltage source). The transfer function of an LTI system completely characterises it; it allows us to find the output of the system to an arbitrary input. For this reason you can think of the transfer function as a response-generating machine. To solve this" [YouTube Link](https://youtube.com/watch?v=ysbPI_uHVAo) 2026-01-10T18:42Z 13.8K followers, [----] engagements "Equivalent Resistance of an Infinite Tower #electricalengineering #electronics Can you find the equivalent resistance of this infinite tower Lets solve this challenging problem using the Fundamental Theorem of Engineering. #electrical #electricalengineering #electronics" [YouTube Link](https://youtube.com/watch?v=IqappSXq5Q4) 2026-01-08T16:07Z 13.8K followers, [----] engagements "Inverse Laplace Transform Using Partial Fractions #maths #engineering Lets find the inverse Laplace transform of this expression in [--] minutes. Well decompose it into partial fractions and then use the First Translation Theorem of the Laplace transform. #math #engineering" [YouTube Link](https://youtube.com/watch?v=2fHH1hOQE_Y) 2026-01-05T15:27Z 13.8K followers, [----] engagements "Integrating by Completing the Square #maths #calculus #integration #integral Integrating the reciprocal of an irreducible quadratic by completing the square and relating it to the known arctan result. #maths #calculus #integration #integral" [YouTube Link](https://youtube.com/watch?v=A-EQ6ecGgv4) 2026-01-01T16:15Z 13.8K followers, 32.6K engagements "Current Division in Electric Circuits #electricalengineering Current division is a fundamental principle in electric circuit analysis. Lets understand it intuitively and mathematically. #electricalengineering" [YouTube Link](https://youtube.com/watch?v=BX_2e-wDOCw) 2025-12-30T15:43Z 13.8K followers, [----] engagements "Math Olympiad Problem #maths #challenge Can you solve this math olympiad problem Lets have a go at it step by step together. While this exponential equation is not difficult enough for a high-level contest like the IMO (International Mathematical Olympiad) it does fit the category of a Junior or Intermediate Olympiad-style problem such as the AMC 10/12 in the US or the UKMT Intermediate Challenge. It is considered a competition problem because it cannot be solved using standard methods (like the quadratic formula) and instead requires algebraic insight pattern recognition or a clever" [YouTube Link](https://youtube.com/watch?v=aXTRSc4rbTc) 2025-12-27T14:41Z 13.8K followers, 13.9K engagements "Maximum Power Transfer - Circuit Analysis Exercise #electrical #electricalengineering #electronics Finding the value of the load resistance that will draw maximum power from the circuit feeding it. To solve a maximum power transfer problem we find the Thvenin equivalent circuit with respect to the load. For maximum power transfer the load resistance must match the Thvenin resistance of the circuit. Usually we would get this by finding the equivalent resistance of the circuit as seen by the load replacing independent voltage sources with short circuits and independent current sources with open" [YouTube Link](https://youtube.com/watch?v=fFuWBaUqpDs) 2025-12-25T16:09Z 13.8K followers, [----] engagements "Volume of a Pyramid Proof #maths #calculus #geometry #proof Proving that the volume of a pyramid is 1/3 its base area * height. In general the volume of a solid is the product of its cross-sectional area and length. But a pyramids cross section is not uniform it varies from zero at the peak to maximum at the base. So well have to consider the average cross-sectional area. However the average cross-sectional area is NOT half the base area This would only be true if the cross section were varying linearly and although this may seem to be the case because of the pyramids straight edges it is the" [YouTube Link](https://youtube.com/watch?v=tbU8FEZoi-E) 2025-12-22T23:13Z 13.8K followers, [----] engagements "Solving a Circuit With an Op Amp AND Diode A circuit analysis problem involving an operational amplifier (op amp) and diode. Let's see how to solve it step by step together. Assuming the op amp is ideal we will take the voltage at the inverting terminal to be equal to that at the non-inverting terminal. Also an ideal op amp is assumed to have infinite input impedance so we will assume that zero current enters either terminal of the op amp. Using KCL we will arrive at a relationship between the diode current and output voltage. Then we will use the exponential model (the most accurate" [YouTube Link](https://youtube.com/watch?v=ZJjtE6T9SLE) 2025-12-20T18:15Z 13.8K followers, [---] engagements "Solving a Limit Using LHopitals Rule #maths #calculus A classic limit problem where LHpitals rule comes to the rescue #math #calculus #engineering #limits" [YouTube Link](https://youtube.com/watch?v=c2faC-LBzxw) 2025-12-20T18:05Z 13.8K followers, [----] engagements "Inverse Hyperbolic Sine as a Logarithm #maths #calculus #engineering A quick proof of the logarithmic equivalence of the inverse hyperbolic sine function. A nice exercise that brings together inverse functions laws of indices quadratic equations properties of the exponential function and more #math #calculus #engineering" [YouTube Link](https://youtube.com/watch?v=e3dhEeGrtTs) 2025-12-15T16:14Z 13.8K followers, [----] engagements "AC Circuit Analysis: Phasor Transformation #electrical #electricalengineering" [YouTube Link](https://youtube.com/watch?v=a0tvAZQbIpA) 2025-12-12T18:08Z 13.8K followers, [----] engagements "Tricky Equivalent Resistance Problem #electricalengineering #electronics Find the equivalent resistance between terminals a and b. Lets solve this problem step by step together. This question is fairly easy but the reason I classified it as moderate is because some students may struggle in making out which resistors are series/parallel when they are drawn in an unconventional way. #electricalengineering #electronics" [YouTube Link](https://youtube.com/watch?v=imCIQraD0MA) 2025-12-09T19:34Z 13.8K followers, [----] engagements "Fourier Transform of Two-sided Decaying Exponential #maths #engineering Finding the Fourier transform of the two-sided decaying exponential exp(at). The Fourier transform is a powerful analytical tool studied in many electrical engineering courses such as circuit analysis signals and systems communication systems and digital signal processing. #math #engineering #electricalengineering" [YouTube Link](https://youtube.com/watch?v=yKGBPuMlplE) 2025-12-08T02:55Z 13.8K followers, [----] engagements "Limit Definition of e: Invalid Proof #maths #calculus #proof Eulers number e is famously known by its limit definition: the limit as x approaches infinity of (1 + 1/x)x. Using calculus lets prove that this limit is indeed e. But this seemingly legitimate proof is actually invalid Can you spot the mistake in this proof #math #calculus #proof" [YouTube Link](https://youtube.com/watch?v=z-6PPkAlC4Y) 2025-12-04T15:42Z 13.8K followers, [----] engagements "Limit Problem: Eulers Number e #maths #engineering #calculus Can you solve this limit problem in one minute Well take a quick look at the engineering method of showing this limit evaluates to e as well as a more formal mathematical way. #math #calculus #engineering" [YouTube Link](https://youtube.com/watch?v=ZRoao5fAIiY) 2025-12-01T15:54Z 13.8K followers, [----] engagements "Equivalent Resistance Problem: Circular Path #electricalengineering Find the equivalent resistance between terminals X and Y. Lets break down this problem together. This question is fairly easy but it all boils down to understanding the role of the circular path or lack thereof. #electricalengineering #electronics" [YouTube Link](https://youtube.com/watch?v=HuMk4Wvu8Mw) 2025-11-28T15:17Z 13.8K followers, [----] engagements Limited data mode. Full metrics available with subscription: lunarcrush.com/pricing
@electricalmaths ElectricalMath
ElectricalMath posts on YouTube about math, solve, equivalent, how to the most. They currently have [------] followers and [---] posts still getting attention that total [------] engagements in the last [--] hours.
Engagements: [------] #
Mentions: [--] #
Followers: [------] #
CreatorRank: [-------] #
Social Influence
Social category influence countries social networks
Social topic influence math #680, solve #292, equivalent #79, how to, resistance #1457, systems, engineering #1669, integration, ohms, fun
Top assets mentioned Diodes Inc (DIOD) Integral (ITGR)
Top Social Posts
Top posts by engagements in the last [--] hours
"Integrating using a Trigonometric Substitution #maths #calculus #integration Solving an integral using trigonometric substitution or "trig sub" for short. #maths #mathematics #math #calculus #integration #integral #integrals #trigonometry math calculus integrals integration trigonometry mathematics integral math calculus integrals integration trigonometry mathematics integral"
YouTube Link 2025-02-07T14:00Z 13.6K followers, 62.1K engagements
"Dont use L'Hpital's rule here Can you solve this limit problem #maths #calculus #engineering"
YouTube Link 2026-02-08T16:25Z 13.8K followers, 20.1K engagements
"Kirchhoffs Circuit Laws Applied #electrical #electricalengineering #circuits Using Kirchhoffs laws coupled with Ohms law lets find all voltages and currents in this electric circuit. I have recently posted quick overviews on Kirchhoffs Current Law (KCL) and Kirchhoffs Voltage Law (KVL). In this circuit analysis exercise we apply them both. #electrical #electricalengineering #circuits #electronics #physics"
YouTube Link 2025-10-29T19:52Z 13.8K followers, 38.8K engagements
"Maximum Power Transfer to a Load Formula Derivation Deriving the formula for maximum power transfer to a load resistance. This use case goes to show the great importance of the Thvenin equivalent as a circuit analysis tool. #electrical #electricalengineering #electronics #electronic #powersystems #powerengineering #math #calculus"
YouTube Link 2025-05-24T09:21Z 13.5K followers, [---] engagements
"How to Find the Thvenin Equivalent Circuit Finding the Thvenin equivalent circuit with respect to a pair of terminals. The Thvenin equivalent circuit is an extremely useful circuit analysis tool that every electrical engineering student must have a high degree of familiarity with. #electricalengineering #electronics #electrical #electronic #circuits #circuitanalysis"
YouTube Link 2025-04-27T16:28Z 13.2K followers, [----] engagements
"You Can Solve This Integral in [--] Minute #maths #calculus #integration #integral Lets integrate this rational function in [--] minute. The standard approach is to factorise the denominator and use partial fraction decomposition which is not too bad. But factoring out the highest power of x instead of the lowest one actually leads to a clever substitution that simplifies the solution a great deal. Some food for thought: What characteristic of the polynomial in the denominator makes this substitution work Can you generalize this #math #calculus #integration #integral"
YouTube Link 2026-01-28T15:44Z 13.8K followers, 97.9K engagements
"Solving a Linear System Using Gauss-Jordan Elimination #maths #algebra The Gauss-Jordan elimination method is a classic technique used in solving a system of linear equations. Lets use it to solve this linear algebra question. #math #algebra"
YouTube Link 2025-08-20T16:03Z 13.6K followers, 74.2K engagements
"Integrating by Completing the Square #maths #calculus #integration #integral Integrating the reciprocal of an irreducible quadratic by completing the square and relating it to the known arctan result. #maths #calculus #integration #integral"
YouTube Link 2026-01-01T16:15Z 13.8K followers, 32.6K engagements
"Integration by Parts Formula Proof #maths #math #calculus A quick and fun proof of the integration by parts formula. #math #calculus #integral #integration #proof"
YouTube Link 2025-10-16T18:51Z 13.6K followers, [----] engagements
"1-minute Integral Solution #maths #calculus #integral #integration Lets solve this integral in [--] minute. By using a clever substitution and interpreting the resulting integral as the area under the graph of the integrand we can solve this integral without even computing an antiderivative #math #calculus #integral #integration"
YouTube Link 2026-02-15T19:23Z 13.8K followers, 14.6K engagements
"Proving that the Volume of a Sphere is 4/3 * r3 #maths #calculus A quick and fun proof of the famous result that the volume of a sphere is 4/3 * pi * radius3. #mathematics #geometry #proof"
YouTube Link 2025-07-20T17:32Z 13.6K followers, 28K engagements
"Thevenin Equivalent Circuit Worked Example #electricalengineering #electronics #physics A worked example of finding the Thevenin equivalent of an electrical circuit with respect to a pair of terminals. #electricalengineering #electricalengineer #electronics #physics #circuits"
YouTube Link 2025-04-19T10:16Z 13.6K followers, 107.2K engagements
"Thvenin Equivalent Circuits #electricalengineering #electronic #circuit The Thevenin equivalent is a very important circuit analysis tool that comes in handy in several applications: amplifiers electronics power system protection faults and more. #engineering #electricalengineering"
YouTube Link 2025-02-19T14:24Z 13.6K followers, 26.1K engagements
"Comparison Test Example Infinite Series #maths #calculus How do we use the Comparison Test to determine whether a series converges or diverges Lets see this through a worked example. #math #calculus"
YouTube Link 2026-02-13T21:15Z 13.8K followers, 16.6K engagements
"Inverse Laplace Transform Question #maths #engineering The Laplace transform is a powerful analysis technique used to solve differential equations and is therefore valuable in a wide variety of engineering applications. In this video we solve an inverse Laplace transform problem i.e find the function of time whose Laplace transform is the given function of s. #math #engineering #electricalengineering"
YouTube Link 2025-08-29T14:40Z 13.6K followers, 50.4K engagements
"Convolution in the Laplace Transform #maths #engineering The convolution integral is a very handy tool in the study of the Laplace transform a very important topic in many math and engineering courses such as differential equations circuit analysis and control systems. #math #engineering #electricalengineering"
YouTube Link 2025-11-12T16:59Z 13.8K followers, [----] engagements
"RLC Circuit Design Problem: Energy Storage in DC Conditions #electrical #electricalengineering"
YouTube Link 2025-09-02T16:34Z 11.5K followers, [----] engagements
"NAND Logic Gate #physics #electricalengineering #computerengineering The NAND gate is a negated AND gate it operates in the exact opposite way to the AND gate we saw in Part [--]. For this reason the NAND gate can be implemented using an AND gate followed by a NOT gate. #electricalengineering #computerscience #physics #computerengineering #digitalelectronics"
YouTube Link 2025-01-31T19:49Z 11.9K followers, [----] engagements
"Fun Trigonometric Limit #math #calculus #limits"
YouTube Link 2025-08-16T19:51Z 11.6K followers, [----] engagements
"Integrating sin(x2) #maths #integration #integral Integrating sin(x2) numerically using two methods: Taylor series and the trapezoidal rule. #mathematics #calculus #numerical"
YouTube Link 2025-03-03T16:21Z 11.4K followers, 18.3K engagements
"Equivalent Resistance in a Circuit #electricalengineering #engineering #electronics Find the equivalent resistance between terminals A and B. Would you classify this problem as easy or moderately difficult #electricalengineering #physics"
YouTube Link 2025-03-22T13:52Z 13K followers, [----] engagements
"Solving a Limit with Absolute Values #maths #calculus Lets solve this seemingly complicated limit problem involving absolute value signs. Understanding the piecewise definition of the absolute value function makes dealing with absolute values a very easy task. #math #calculus #limits"
YouTube Link 2025-08-08T14:46Z 13K followers, [----] engagements
"Euler's Formula Proof #maths #calculus #trigonometry #proof A one-minute proof of the famous Euler formula. #maths #mathematics #math #calculus #trigonometry #proof #exponential"
YouTube Link 2025-02-01T14:08Z 13.5K followers, 17.4K engagements
"Integral of sin(lnx) / lnx #maths #calculus #integral #integration Sponsored by Mathos AI. Here's the link to this AI tool if you'd like to try it out: https://www.mathos.ai/inv=BGGIK8 How do we integrate sin(lnx) / lnx from [--] to [--] Well use a series expansion along with a fascinating integral result from a previous video to solve this challenging question. #math #calculus #integral #integration"
YouTube Link 2025-10-25T15:20Z 13.8K followers, [----] engagements
"Inverse Laplace Transform Using Partial Fractions #maths #engineering Lets find the inverse Laplace transform of this expression in [--] minutes. Well decompose it into partial fractions and then use the First Translation Theorem of the Laplace transform. #math #engineering"
YouTube Link 2026-01-05T15:27Z 13.8K followers, [----] engagements
"RMS Value of a Triangular Current Waveform #electrical #electricalengineering Why is the RMS value of a triangular wave equal to V / [--] and not [--] like a sine wave Lets break it down step by step using symmetry and smart integration. #electrical #electronics"
YouTube Link 2026-02-10T18:24Z 13.8K followers, [----] engagements
"Power Factor Correction in Electric Power Systems #electricalengineering Power factor (PF) is defined as the ratio of real (active) power P to apparent power S PF = P / S = cos where is the phase difference between voltage and current. A low power factor indicates that a significant portion of the current drawn from the source is reactive contributing no useful work but still increasing current flow in the system. Most industrial loads are inductive in nature such as induction motors and transformers. These loads draw a lagging current increasing the reactive power demand and causing the"
YouTube Link 2026-02-06T14:51Z 13.8K followers, [----] engagements
"Control Systems Exercise: Steady-State Response of a Closed-Loop System #electricalengineering Lets solve this control systems exercise together: find the steady-state value of the step response of the system illustrated in the block diagram. Comprising the closed-loop system architecture are the following fundamental components that allow for self-correction: * The Controller (G_c): The brain that processes the signal. * The Process or Plant (G): The physical system we are trying to influence. * The Output Transducer (H): Often a sensor that measures the output and feeds it back to the"
YouTube Link 2026-02-02T16:42Z 13.8K followers, [----] engagements
"Pythagorean Theorem Proof #math #smart A quick fun and visually-engaging deductive proof of the famous Pythagorean theorem. #maths #proof"
YouTube Link 2025-11-07T12:52Z 13.8K followers, [----] engagements
"Capacitors in DC Circuits #electrical #electricalengineering To find the voltage across a capacitor in a DC circuit replace it with an open circuit and find the voltage across the open terminals. While we couldve used the node voltage method or mesh current method to solve this problem the method of tracing the voltage drops along the currents path instills in the viewer a good degree of familiarity with circuit fundamentals. #electricalengineering"
YouTube Link 2026-01-26T17:57Z 13.8K followers, [----] engagements
"Laplace Transform Using the Definition #maths #engineering Find the Laplace transform of the function f(t) shown on the graph. Lets use the integral definition of the Laplace transform and explain the solution to this problem step by step. #math #engineering"
YouTube Link 2025-08-11T16:35Z 13.6K followers, 15.3K engagements
"Exponential Fourier Series: Step-by-step Example Find the exponential Fourier series for this periodic square wave signal with a duty cycle of 50%. The Fourier series allows us to represent any periodic signal as a sum of sinusoids (or complex exponentials) each with its own amplitude and phase. This concept is at the core of signal analysis communications and control systems helping us understand how complex waveforms are built from simpler components. Lets walk through this example step by step to see how the math translates into the signals frequency-domain representation. #math"
YouTube Link 2025-11-15T18:42Z 13.8K followers, [---] engagements
"Current Division in Electric Circuits #electricalengineering Current division is a fundamental principle in electric circuit analysis. Lets understand it intuitively and mathematically. #electricalengineering"
YouTube Link 2025-12-30T15:43Z 13.8K followers, [----] engagements
"Power Tower Equation #maths #challenge #puzzle Can you solve this power tower equation in under a minute #math #challenge #puzzle"
YouTube Link 2026-02-04T14:32Z 13.8K followers, 10.7K engagements
"XOR Logic Gate #electricalengineering #computerengineering #physics #computerscience The XOR logic gate or exclusive OR gate is very similar to the OR gate we saw in Part [--] in terms of the circuit symbol as well as operation. The XOR gate outputs a high signal if the inputs are different. The only difference between the XOR gate and the OR gate is that the XOR gate outputs a [--] if both inputs are [--]. #maths #physics #computerscience"
YouTube Link 2025-01-27T14:53Z 13.6K followers, [----] engagements
"Op Amps Explained in [--] Minute #physics #electricalengineering #amplifier A one-minute overview of the op amp an important circuit element every electrical engineer must know. #engineering #electricalengineering #electricity #circuit #amplifier electrical engineering physics amplifiers op amps circuits circuit analysis operational amplifiers electrical engineering physics amplifiers op amps circuits circuit analysis operational amplifiers"
YouTube Link 2025-02-08T15:00Z 13.6K followers, 166.7K engagements
"Equivalent Resistance Problem: Circular Path #electricalengineering Find the equivalent resistance between terminals X and Y. Lets break down this problem together. This question is fairly easy but it all boils down to understanding the role of the circular path or lack thereof. #electricalengineering #electronics"
YouTube Link 2025-11-28T15:17Z 13.8K followers, [----] engagements
"Binary Numbers Explained in [--] Minute #math #maths #engineering #computer The binary numeral system uses only two characters [--] and [--] to represent numbers. The way it works is by assigning value based on the position of the digit much like the more common decimal system except that the base is [--] instead of [--]. #math #maths #engineering #electricalengineering #computer #computerengineering"
YouTube Link 2025-01-01T12:17Z [----] followers, [----] engagements
"Circuit Analysis in the s-Domain #electricalengineering Circuit analysis using the Laplace transform. #electrical #electricalengineering #circuits"
YouTube Link 2025-11-19T19:39Z 13.8K followers, [----] engagements
"Equivalent Resistance of an Infinite Tower #electricalengineering #electronics Can you find the equivalent resistance of this infinite tower Lets solve this challenging problem using the Fundamental Theorem of Engineering. #electrical #electricalengineering #electronics"
YouTube Link 2026-01-08T16:07Z 13.8K followers, [----] engagements
"Implicit Differentiation Explained in [--] Minutes #maths #calculus Implicit differentiation is a very important calculus tool. This video explains implicit differentiation in [--] minutes. #math #calculus #smart #test #exam #learning"
YouTube Link 2025-04-21T15:18Z 13.6K followers, 30.9K engagements
"Proving the Derivative of Arcsin(x)"
YouTube Link 2025-06-25T15:27Z 13.6K followers, 13.2K engagements
"Fun Limit Problem #maths #calculus #limits Can you solve this limit problem Lets solve it one step at a time by applying basic algebra our knowledge of the famous trigonometric limit sin(x) / x as well as some limit properties. #math #calculus #limits #challenge"
YouTube Link 2025-10-31T14:53Z 13.8K followers, [----] engagements
"Maximum Power Transfer Question - Bridge Circuit Finding the maximum power that can be delivered to a resistor R in a bridge circuit. After my recent video deriving the general formula for maximum power transfer this video showcases a full example. A very instructive exercise that contains many fundamental topics in a circuit analysis course: Ohm's law series/parallel combinations current division nodal analysis and Thevenin equivalent circuits. #electrical #electricalengineering #engineering #physics #electronics #electronic #circuits #maths"
YouTube Link 2025-05-30T20:40Z 13.6K followers, [---] engagements
"Tricky Geometry Puzzle #maths #geometry #smart Can you solve this geometry puzzle Dont fall for the trick #maths #geometry #puzzle #smart"
YouTube Link 2026-01-12T17:39Z 13.8K followers, [----] engagements
"Norton Equivalent Circuit - Worked Example #electricalengineering Find the Norton equivalent circuit with respect to terminals a and b. The Norton equivalent can be obtained from the Thevenin equivalent with a source transformation so the process of finding these equivalents is pretty much the same. Because this circuit involves a dependent source we cannot find the equivalent resistance by deactivating the sources. Instead well find the short-circuit current between terminals a and b and calculate the Thevenin (Norton) resistance by dividing the open-circuit voltage by this short-circuit"
YouTube Link 2025-09-30T18:18Z 13.6K followers, 21.8K engagements
"How to Solve AC Circuits by Mesh Analysis Using mesh analysis lets find the labelled current in this RLC circuit fed by two sinusoidal voltages sources. Well first convert the circuit to its frequency domain equivalent by finding the impedances of the resistor capacitor and inductor as well as the phasor forms of the sources. Then well apply Kirchhoffs voltage law (KVL) to the two meshes to solve for the phasor expression of the unknown current. Finally we convert back to time domain to get the sinusoidal form of the target current. #electrical #electricalengineering #electronics"
YouTube Link 2026-02-01T17:24Z 13.8K followers, [---] engagements
"Circuit Analysis RLC Circuit at DC Conditions #electrical #electricalengineering #electronics Circuit analysis question with a capacitor and inductor: find the labeled voltage and current under steady-state DC conditions. #electricalengineering #electrical #electricalengineer #electronics #electronic #electronicsengineering #physics #maths"
YouTube Link 2025-05-14T12:42Z 13.6K followers, 23K engagements
"MOSFET DC Circuit Analysis MOSFET circuits at DC: a full worked example. The objective of this exercise is to design the transistor circuit that is choose suitable values for the resistors connected to the drain and source terminals in order for the NMOS transistor to operate at a particular drain current and voltage. We can solve part of the problem using just Ohms law and simple circuit analysis but the remaining part needs knowledge of the operation mode of the transistor. #electrical #electricalengineering #electronics #electronicsengineering"
YouTube Link 2026-01-15T09:28Z 13.8K followers, [---] engagements
"Solving a Circuit With an Op Amp AND Diode A circuit analysis problem involving an operational amplifier (op amp) and diode. Let's see how to solve it step by step together. Assuming the op amp is ideal we will take the voltage at the inverting terminal to be equal to that at the non-inverting terminal. Also an ideal op amp is assumed to have infinite input impedance so we will assume that zero current enters either terminal of the op amp. Using KCL we will arrive at a relationship between the diode current and output voltage. Then we will use the exponential model (the most accurate"
YouTube Link 2025-12-20T18:15Z 13.8K followers, [---] engagements
"Quick Geometry Puzzle #maths #geometry #puzzle Can you solve this geometry puzzle in seconds #math #smart #geometry #puzzle #challenge"
YouTube Link 2025-11-17T16:54Z 13.8K followers, [----] engagements
"Limit Problem: Eulers Number e #maths #engineering #calculus Can you solve this limit problem in one minute Well take a quick look at the engineering method of showing this limit evaluates to e as well as a more formal mathematical way. #math #calculus #engineering"
YouTube Link 2025-12-01T15:54Z 13.8K followers, [----] engagements
"AC Circuit Analysis: Phasor Transformation #electrical #electricalengineering"
YouTube Link 2025-12-12T18:08Z 13.8K followers, [----] engagements
"Math Olympiad Problem #maths #challenge Can you solve this math olympiad problem Lets have a go at it step by step together. While this exponential equation is not difficult enough for a high-level contest like the IMO (International Mathematical Olympiad) it does fit the category of a Junior or Intermediate Olympiad-style problem such as the AMC 10/12 in the US or the UKMT Intermediate Challenge. It is considered a competition problem because it cannot be solved using standard methods (like the quadratic formula) and instead requires algebraic insight pattern recognition or a clever"
YouTube Link 2025-12-27T14:41Z 13.8K followers, 13.9K engagements
"Solving a Limit Using LHopitals Rule #maths #calculus A classic limit problem where LHpitals rule comes to the rescue #math #calculus #engineering #limits"
YouTube Link 2025-12-20T18:05Z 13.8K followers, [----] engagements
"How to Solve a Diode Circuit #electrical #electricalengineering #electronic #electronics To analyze a circuit involving a forward-biased diode you have [--] options: 1) The ideal model: treat the conducting diode as a short circuit. Very simple but not very practical. 2) The exponential model: the most accurate description of the diode operation but its severe nonlinearity makes it undesirable when rapid analysis is required. 3) The constant-voltage-drop model: the best of both worlds. Give the diode a fixed voltage drop of [---] V and proceed with regular circuit analysis. This captures the"
YouTube Link 2025-06-29T15:41Z 13.6K followers, 15K engagements
"Sum of First n Natural Numbers #maths #proof #shorts A quick proof that the sum of the first n natural numbers is n(n+1)/2. #math #proof #quick"
YouTube Link 2025-11-21T17:26Z 13.8K followers, [----] engagements
"Impulse Response of an LTI System #math #maths #engineering #electricalengineering The impulse response of an LTI system is the output of the system when the input is an impulse (delta) function. #math #maths #physics #engineering #electricalengineering #signalsandsystems"
YouTube Link 2024-12-28T07:49Z 13.6K followers, 18.9K engagements
"Inverse Hyperbolic Sine as a Logarithm #maths #calculus #engineering A quick proof of the logarithmic equivalence of the inverse hyperbolic sine function. A nice exercise that brings together inverse functions laws of indices quadratic equations properties of the exponential function and more #math #calculus #engineering"
YouTube Link 2025-12-15T16:14Z 13.8K followers, [----] engagements
"Maximum Power Transfer - Circuit Analysis Exercise #electrical #electricalengineering #electronics Finding the value of the load resistance that will draw maximum power from the circuit feeding it. To solve a maximum power transfer problem we find the Thvenin equivalent circuit with respect to the load. For maximum power transfer the load resistance must match the Thvenin resistance of the circuit. Usually we would get this by finding the equivalent resistance of the circuit as seen by the load replacing independent voltage sources with short circuits and independent current sources with open"
YouTube Link 2025-12-25T16:09Z 13.8K followers, [----] engagements
"Improper Integral of 1/xlnx #maths #calculus #integration #integral This integral looks innocent until you notice the singularity at x = [--]. Lets break down how to handle improper integrals step by step. Well rewrite the integral as a limit find the antiderivative and investigate whether the limit converges or diverges. Then in partnership with Mathos AI well understand the graphical behaviour of the integrand and the implication of its asymptotic nature near x = [--] on the convergence of the target area (or lack thereof). Check out Mathos AI using the link in my bio #math #calculus #integral"
YouTube Link 2025-11-26T16:13Z 13.8K followers, [----] engagements
"tan(92/3): Math SAT Question #maths #math #satmath What is the value of tan(92/3) Lets solve this math SAT question step by step explaining how to use the periodicity of the tangent function to arrive at the answer. #math #trigonometry #satmath"
YouTube Link 2025-10-27T16:41Z 13.8K followers, [----] engagements
"Equivalent Capacitance Question #electrical #electricalengineering Find the equivalent capacitance between terminals a and b. You can combine capacitors in series and parallel much like resistors except its the other way around. For series capacitors: 1/Ceq = 1/C1 + 1/C2 + 1/C3 + For parallel capacitors: Ceq = C1 + C2 + C3 + In the case of only two series capacitors the formula can easily be algebraically manipulated to give: Ceq = (C1 * C2) / (C1 + C2) #electrical #electricalengineering #electronics"
YouTube Link 2025-08-13T14:05Z 13.6K followers, [----] engagements
"How to Solve Diode Circuit Problems Find the current flowing through the diode in this circuit. The diode has a forward-bias voltage of [---] V. In diode circuits like the one in this exercise it is not immediately obvious whether or not the diode is conducting. Therefore what we do in such cases is make an assumption proceed with the analysis and then check whether the solution verifies or contradicts our assumption. #electricalengineering #electronics"
YouTube Link 2025-10-31T12:18Z 13.8K followers, [----] engagements
"Tricky Equivalent Resistance Problem #electricalengineering #electronics Find the equivalent resistance between terminals a and b. Lets solve this problem step by step together. This question is fairly easy but the reason I classified it as moderate is because some students may struggle in making out which resistors are series/parallel when they are drawn in an unconventional way. #electricalengineering #electronics"
YouTube Link 2025-12-09T19:34Z 13.8K followers, [----] engagements
"Equivalent Resistance Problem: Redundant Resistors #electrical #electricalengineering Find the equivalent resistance between terminals X and Y. Lets solve this problem step by step together. This problem is fairly easy but some may struggle in noticing the fact that two resistors are redundant. This is why I classified the problem as moderate in difficulty. #electrical #electricalengineering #resistance #electronics #circuits"
YouTube Link 2025-10-24T06:27Z 13.8K followers, [----] engagements
"Can You Solve This Math Olympiad Question #maths #challenge Most people only find TWO solutions to this equation. Can you find the third one before the video ends 🧐 This classic algebra puzzle is a staple in math competitions because it looks simple but hides a ghost solution. Its all about case analysis: [--] When the exponents are zero. [--] When the bases are equal. [--] The one everyone forgets. when the bases are negatives of each other Where youll see problems like this: 📍 AMC [--] / AMC [--] (American Mathematics Competitions) 📍 AIME (American Invitational Mathematics Examination) 📍 Mathcounts"
YouTube Link 2026-01-25T18:09Z 13.8K followers, [----] engagements
"Clever Integral Solution Involving Three Substitutions #calculus #maths #integration Lets solve this seemingly challenging integral involving a logarithm and trigonometric functions of different angles. A clever solution involving three substitutions #math #calculus #integration #integrals"
YouTube Link 2026-01-20T14:50Z 13.8K followers, 14.6K engagements
"Arc Length Formula Proof #maths #mathematics #math #calculus #formula #proof A one-minute proof of the arc length formula. #maths #mathematics #math #calculus #proof"
YouTube Link 2025-01-18T16:51Z 13.6K followers, [----] engagements
"What is a Diode #electricalengineering #electronics #physics The diode is a fundamental circuit component every electrical and electronics engineer must know but what do diodes do exactly This video is a quick overview of the working principle of diodes and their most important application. #electricalengineering #electronics #electrical #electronic #physics"
YouTube Link 2025-04-22T17:10Z 13.6K followers, [----] engagements
"Volume of a Pyramid Proof #maths #calculus #geometry #proof Proving that the volume of a pyramid is 1/3 its base area * height. In general the volume of a solid is the product of its cross-sectional area and length. But a pyramids cross section is not uniform it varies from zero at the peak to maximum at the base. So well have to consider the average cross-sectional area. However the average cross-sectional area is NOT half the base area This would only be true if the cross section were varying linearly and although this may seem to be the case because of the pyramids straight edges it is the"
YouTube Link 2025-12-22T23:13Z 13.8K followers, [----] engagements
"Absolute Value Inequalities #maths Absolute value inequalities can be tricky so lets have a look at a methodical approach you can use when solving such problems. In partnership with Mathos AI. Check out this powerful AI solver using the link in my bio. #math"
YouTube Link 2025-11-05T18:03Z 13.8K followers, [----] engagements
"Kirchhoffs Voltage Law in [--] Minutes #electricalengineering #physics Kirchhoffs Voltage Law (KVL) explained in [--] minutes. KVL was first introduced in [----] by the German physicist Gustav Robert Kirchhoff and it is a direct consequence of the law of conservation of energy. KVL states that the algebraic sum of all voltages around any closed path (or loop) must equal zero. In other words the sum of voltage rises must be equal to the sum of voltage drops. Coupled with Ohms Law Kirchhoffs laws (KCL and KVL) allow us to solve most electric circuits i.e determine the voltage across and the current in"
YouTube Link 2025-10-19T17:46Z 13.6K followers, [----] engagements
"Math Olympiad Question: Algebraic Identity #maths #challenge Can you solve this math Olympiad question If x + 1/x = [--] what is the value of x3 + 1/x3 This type of algebraic problem is very common in early-round Olympiads and competitions worldwide including the American Mathematics Competitions (AMC) and various math contests. #math #challenge"
YouTube Link 2025-10-21T19:12Z 13.8K followers, [----] engagements
"Superposition in Circuit Analysis #electricalengineering #electronics #physics The superposition principle is an important tool in circuit analysis. #electricalengineering #engineering #circuitanalysis"
YouTube Link 2025-03-26T19:52Z 13.6K followers, 77.6K engagements
"Proof of the Geometric Dot Product Formula #maths #geometry #proof Proving the famous dot product formula for the angle between two vectors. #math #geometry #proof"
YouTube Link 2026-01-14T17:10Z 13.8K followers, [----] engagements
"Steady-state Circuit Analysis Exercise #electricalengineering Given the sinusoidal voltage and current find the angular frequency in this circuit operating in steady state. #electricalengineering"
YouTube Link 2025-11-10T18:39Z 13.8K followers, [----] engagements
"Delta-to-Wye (Y) Equivalent Circuits #electrical #electricalengineering DeltatoWye (Y) equivalent circuits: what how and why. [--]. What and Y networks actually are How the two interconnections differ and what it means for them to be electrically equivalent in terms of node relationships and terminal resistances. [--]. How the transformation formulas are derived A close look at the relationships between branch resistances and how we arrive at the Y equations from basic circuit principles. [--]. Why this matters The Y conversion is a powerful tool for simplifying otherwise complicated networks allowing"
YouTube Link 2025-11-24T18:05Z 13.8K followers, [----] engagements
"Fourier Transform of Two-sided Decaying Exponential #maths #engineering Finding the Fourier transform of the two-sided decaying exponential exp(at). The Fourier transform is a powerful analytical tool studied in many electrical engineering courses such as circuit analysis signals and systems communication systems and digital signal processing. #math #engineering #electricalengineering"
YouTube Link 2025-12-08T02:55Z 13.8K followers, [----] engagements
"Transfer Function of a Series RLC Circuit #electrical #electricalengineering Lets find the transfer function of this series RLC circuit. The transfer function of a linear time-invariant (LTI) system (in this case the given circuit) is the ratio of the output signal (in this case the capacitor voltage) to the input signal (in this case the voltage source). The transfer function of an LTI system completely characterises it; it allows us to find the output of the system to an arbitrary input. For this reason you can think of the transfer function as a response-generating machine. To solve this"
YouTube Link 2026-01-10T18:42Z 13.8K followers, [----] engagements
"Limit Definition of e: Invalid Proof #maths #calculus #proof Eulers number e is famously known by its limit definition: the limit as x approaches infinity of (1 + 1/x)x. Using calculus lets prove that this limit is indeed e. But this seemingly legitimate proof is actually invalid Can you spot the mistake in this proof #math #calculus #proof"
YouTube Link 2025-12-04T15:42Z 13.8K followers, [----] engagements
"Capacitor Energy Formula Derivation #physics #electricalengineering Deriving the formula for the energy stored in a capacitor using the power equation p = vi. #physics #maths #engineering"
YouTube Link 2025-02-16T14:07Z [---] followers, [---] engagements
"Proving that the Derivative of arctan(x) is 1/(x2 + 1) #math #calculus Proving that the derivative of arctan(x) is 1/(x2 + 1). #maths #calculus #trigonometry #proof"
YouTube Link 2025-09-23T16:49Z [----] followers, [----] engagements
"Wheatstone Bridge in [--] Minutes #electrical #electricalengineering The Wheatstone bridge is used in many circuit applications one of which is to measure an unknown resistance. The variable resistance is adjusted until no current flows through the galvanometer (which is basically a very sensitive ammeter). At this point the bridge is said to be balanced. Applying Kirchhoffs laws to the balanced Wheatstone bridge allows us to arrive at a simple equation for the unknown resistance. #electrical #electricalengineering #electronic #electronics #circuits"
YouTube Link 2025-10-14T20:11Z [----] followers, [----] engagements
"NOT Logic Gate #maths #physics #electricalengineering A logic gate is a basic building block used to realize logical operations in digital circuits. A NOT gate also called an inverter inverts the logic state. If the input is high the output of a NOT gate will be low and vice versa. #electricalengineering #physics #maths #digital #circuit"
YouTube Link 2025-01-17T15:41Z 11.2K followers, [---] engagements
"Circuit Analysis Problem: Op Amps #electricalengineering #electrical #electronics Op amp circuit analysis problem: find the voltage across the [--] kohm resistor in this amplifier circuit. #electricalengineer #engineering #physics #maths"
YouTube Link 2025-07-04T12:12Z 11.2K followers, 17.6K engagements
"Integral of (1 - sinx) dx Integrating the square root of [--] - sinx. #maths #calculus #integral #integration"
YouTube Link 2025-03-28T19:20Z 10.5K followers, [----] engagements
"Applying Source Transformation to Find the Power Delivered by a Current Source #electrical Find the power delivered by the [--] A current source in this circuit. Normally I would suggest using the mesh current method (mesh analysis) to solve this problem but here I present the source transformation method. The reason I opted for this technique is that it sheds light on a very important point in circuit analysis: whenever you simplify or transform a circuit it helps a great deal to make sure that any labelled quantities would still be intact that is you would still explicitly see the labelled"
YouTube Link 2025-09-13T14:51Z [----] followers, [----] engagements
"Integral of ln(x) from [--] to [--] #maths #calculus #integration #integration A creative solution to the integral of ln(x) from [--] to [--]. #maths #calculus #integration #integral #math #mathematics #graphs"
YouTube Link 2025-01-26T14:57Z 11K followers, [----] engagements
"Inverse Laplace Transform Using the Table #math #engineering Lets find the inverse Laplace transform of this expression in [--] minutes. Well use term-wise division and the linearity of the Laplace transform and its inverse. #math #engineering"
YouTube Link 2025-10-06T14:57Z 10.9K followers, 15.6K engagements
"How to Find The Transfer Function for a Circuit #electrical #electricalengineering Find the transfer function for this circuit involving a current source resistor inductor and capacitor. The output voltage is taken to be across the capacitor. Lets solve this problem step by step together. #electrical #electricalengineering #engineering #circuits"
YouTube Link 2025-08-27T15:14Z [----] followers, 10.2K engagements
"The Squeeze Theorem Explained in [--] Minutes #maths #calculus The Squeeze Theorem also called the Sandwich Theorem or the Pinching Theorem is a key result in calculus used to evaluate limits of functions that are difficult to analyze directly. If a function is bounded between two others that approach the same limit it must converge to that limit as well. A fundamental tool for handling indeterminate forms and complex behaviors near a point. #math #calculus #limits"
YouTube Link 2025-07-30T19:34Z [----] followers, 11.9K engagements
"Taylor and Maclaurin Series of cosh(x) Two methods to finding the Taylor/Maclaurin series of cosh(x) with the radius of convergence. The first method is the standard approach of finding the Taylor series of any function. The Maclaurin series can then be found by substituting a base of b = [--] and the radius of convergence is determined using the ratio test. The second method uses the exponential definition of the hyperbolic cosine. Because we know the Maclaurin series of the exponential function very well this method is much more straightforward. #maths #math #mathematics #calculus #formula"
YouTube Link 2025-01-29T19:06Z [----] followers, [---] engagements
"Ohms Law Explained in [--] Minute #electrical #electricalengineering Ohms law explained in one minute. When a voltage is applied across a conductor the size of the current that flows through it depends on the resistance said conductor offers to the flow of electrons. Physically this is due to collisions between the electrons and the atoms of the conductor. In [----] a German scientist named Georg Ohm found experimentally that in metal conductors current is directly proportional to voltage at a fixed temperature. This became known as Ohms law. Materials that obey Ohms law are called ohmic"
YouTube Link 2025-07-28T15:25Z 10.6K followers, [----] engagements
"Energy of a Signal #electrical #electricalengineering The energy of a signal is a standard quantity that measures its strength and is a concept that arises frequently in electrical engineering courses like signals and systems and communication systems. Normally we view a signal x(t) as a voltage across a one-ohm resistor. Then the energy of x(t) would be the energy dissipated by this resistor. Lets take a look at a worked example of calculating the energy of a signal. #electrical #electricalengineering #math"
YouTube Link 2025-09-09T15:39Z [----] followers, [----] engagements
"How to Solve a Challenging Integral (Step by Step) Can you solve this challenging integral Lets explain how to solve it step by step together. The thought process presented in the solution of this integral is a key skill you need to develop to excel in your Calculus [--] course. #maths #calculus #integration #integral #algebra #math #smart"
YouTube Link 2025-05-17T17:18Z [----] followers, [--] engagements
"Limit at Infinity Worked Example #maths #mathematics #calculus #algebra The study of limits is a fundamental branch of calculus. Lets solve a limit exercise together. #maths #mathematics #calculus #limits #algebra #math"
YouTube Link 2025-05-13T09:51Z [----] followers, [----] engagements
"Mesh Analysis with a Dependent Source Let's use mesh analysis to analyze this circuit involving a dependent source. Question: Find the power delivered by the dependent source in this circuit. #electrical #electricalengineering #electronic #electronics #circuitanalysis"
YouTube Link 2025-07-13T08:09Z [----] followers, [--] engagements
"Can You Solve This Circuit Challenge Can you solve this circuit analysis challenge question Let's use mesh analysis to solve it and explain how to deal with a supermesh. #electrical #electricalengineering #electricalengineer #engineering #electronics #electronic #circuits"
YouTube Link 2025-08-20T10:24Z [----] followers, [---] engagements
"An Integral with a Hidden Substitution #maths #calculus #integration Sometimes the substitution you need to solve an integral won't be glaring at you you may have to look closely to find it. #math #calculus #integration"
YouTube Link 2025-01-03T18:53Z [---] followers, [---] engagements
"Solve This Integral For The Wi-Fi Password The Wi-Fi password is the first [--] digits of the answer to this definite integral. Can you solve it At first glance the integrand looks very complicated but by exploiting the symmetry of the interval of integration along with some graphical knowledge the task becomes very easy #maths #calculus #integration"
YouTube Link 2025-07-04T12:45Z [----] followers, [----] engagements
"Bridge Equivalent Resistance Problem Explained (2 methods) Find the equivalent resistance between terminals A and B. I would say this problem is easy but i classified it as moderate for two reasons: 1) The second method I presented may not be easy to follow for many. 2) Some people find it especially challenging when the pair of terminals is not on the edge of the circuit. #electrical #electricalengineering #engineering #electronics #electronic #physics"
YouTube Link 2025-06-02T07:19Z [----] followers, [---] engagements
"RLC Bandpass Filter - Maximum Output In this RLC bandpass filter the voltage source can be varied over a broad range of frequencies while its amplitude is kept constant. At what frequency (kHz) does the output voltage have maximum amplitude Let's solve this problem step by step together going over concepts like voltage division phasors impedance magnitude/phase and resonant frequency. #electrical #electricalengineering #electronic #electronics #circuits"
YouTube Link 2025-10-16T08:29Z [----] followers, [---] engagements
"Proving that the Area of a Circle is r2 We all know that the area of a circle is r2 but let's prove this to be the case using a definite integral. There may be easier methods like integrating in polar coordinates but I wanted to take this chance to present a worked example of the great method of trigonometric substitution. #maths #calculus #integration #integral #proof #circle"
YouTube Link 2025-05-12T10:44Z [----] followers, [----] engagements
"Friction Force: Static vs Dynamic #physics #science #engineering #maths Friction is a force that always opposes motion. Lets have a look at the two types of friction: static and dynamic to help answer the question at the beginning of the video. #physics #science #maths #engineering #smart"
YouTube Link 2025-04-20T19:43Z [----] followers, [----] engagements
"Quadratic Formula Proof #maths #mathematics #algebra #proof The famous quadratic formula proved in one minute. #maths #mathematics #math #algebra #quadraticequation #proof"
YouTube Link 2025-01-13T20:00Z [---] followers, [----] engagements
"A Beautiful Result Using The Gamma Function #maths #calculus #integration The integral from [--] to [--] of the natural log of x raised to the power of 2n where n is a non-negative integer. A beautiful result using the Gamma function #math #calculus #integral #integration #gamma"
YouTube Link 2025-09-01T16:48Z [----] followers, [--] engagements
"The Sum of a Cosine and Sine #math #maths #physics #engineering In many engineering applications it is of interest to express the sum of a cosine and sine as a single sinusoid. #math #maths #mathematics #physics #engineering #electricalengineering"
YouTube Link 2024-12-26T19:33Z [---] followers, [---] engagements
"Integrating sec(x) using a clever idea #maths #calculus #integration"
YouTube Link 2025-07-11T11:25Z [----] followers, [----] engagements
"Key Passcode Puzzle Solved in [--] Minute #puzzle #maths #iqtest Lets solve the famous key passcode puzzle in [--] minute. #puzzle #maths #iqtest #iqtest #puzzlegame"
YouTube Link 2025-01-25T18:11Z [---] followers, [---] engagements
"How to Solve Any Logarithmic Equation Can you solve this log equation Lets explain how to solve this question by demonstrating two methods to change the base of one logarithm to match the other. Once the bases match we can equate the inputs of the logs since logarithms are injective (one-to-one functions). #math"
YouTube Link 2025-09-22T15:08Z [----] followers, [--] engagements
"Mesh Current Analysis - Worked Example The mesh current method is an important circuit analysis tool. Let's take a look at a worked example together. #electricalengineering #engineering #physics #electronics #circuits"
YouTube Link 2025-04-01T20:17Z [---] followers, [--] engagements
"How to Convert Phasors to Sinusoids #electricalengineering Phasors are complex numbers that represent sinusoidal signals in terms of magnitude and phase. Phasors have very important applications in circuit analysis as they simplify solving AC circuits by converting differential equations into algebraic ones. #math #engineering #electrical #electricalengineering"
YouTube Link 2025-09-08T14:52Z [----] followers, [----] engagements
"Integral of sec(x)csc(x) / ln(tanx) #maths #calculus #integration"
YouTube Link 2025-08-25T15:07Z [----] followers, [----] engagements
"Geometry Puzzle #maths #puzzle A very interesting geometry puzzle. The two circles each of radius [--] cm are tangential. The line is tangent to both circles and the circles barely touch the square at two adjacent vertices. Find the area of this square. There are alternative methods to solve this problem so if you have a different solution make sure to comment it below. #math #puzzle #geometry #algebra #smart"
YouTube Link 2025-08-26T19:35Z [----] followers, [---] engagements
"Kirchhoffs Current Law in [--] Minute #electrical #electricalengineering Kirchhoffs Current Law (KCL) explained in [--] minute. KCL was first introduced in [----] by the German physicist Gustav Robert Kirchhoff and it is a direct consequence of the law of conservation of charge. KCL states that the algebraic sum of all the currents at any node in a circuit equals zero. In other words the sum of the currents entering a node must be equal to the sum of currents leaving that node. Coupled with Ohms Law Kirchhoffs laws (KCL and KVL) allow us to solve most electric circuits i.e determine the voltage"
YouTube Link 2025-10-04T15:22Z [----] followers, [----] engagements
"Circuit Question: Lamp Brightness #electrical #electricalengineering If the lamps in this circuit are identical what happens to their brightness when the switch is closed While we can qualitatively describe the effect here I present a quantitative solution a mathematical one. The brightness of a lamp is quantified by the power dissipated so lets compare the power of each of the lamps before and after we open the switch. There are three formulas for electric power: P = V * I P = I2 * R and P = V2 / R. For this video to be more instructive I demonstrate the power calculation using two different"
YouTube Link 2025-08-06T19:25Z [----] followers, [----] engagements
"Find the Equivalent Resistance - Moderate Difficulty #physics #circuits #electronic"
YouTube Link 2025-03-08T12:18Z [---] followers, [---] engagements
"Diode Design Problem: Choose R Design this diode circuit (choose an appropriate value for the resistor R) to achieve an output voltage of [---] V. Let's solve this problem together explaining how to use the exponential model to relate the current through a forward-biased diode to its voltage drop. #electrical #electricalengineering #diode #electronicservice"
YouTube Link 2025-09-10T12:02Z [----] followers, [---] engagements
"Mathematics A-level Question Calculus and Trigonometry #maths #calculus #math Lets solve this mathematics A Level question involving calculus and trigonometry. #mathematics #calculus #integral #trigonometry #smart #learning #exam #quiz #test"
YouTube Link 2025-05-21T16:54Z [----] followers, [----] engagements
"Exponential Equation - Math Olympiad Question #maths Can you solve this exponential equation Lets have a go at this Math Olympiad question step by step together. #math #challenge"
YouTube Link 2025-08-28T14:07Z [----] followers, [----] engagements
"SAT Question: Line-Parabola Intersection #math #SAT Youll probably face a question like this on your SAT: find the value of the positive constant b such that the given line intersects the parabola at one point only. Lets solve this problem step by step together. I also demonstrate how you can solve the question using Desmos the famous graphing calculator which is integrated into the digital SAT. #math #sat"
YouTube Link 2025-10-10T17:27Z [----] followers, [----] engagements
"Proving an Expression is Always Positive #maths #math #algebra #calculus To prove that an expression is always positive the typical approach is to express it in the form of something squared (plus a positive number). The proof can also be done using calculus but in this case straightforward algebra does the job. #maths #maths #algebra #calculus #proof"
YouTube Link 2025-01-05T16:40Z [---] followers, [----] engagements
"Trigonometric Integral Solved With a Nice Trick #maths #calculus #integration Solving the integral of [--] / (1 cosx) with the thought process explained. #math #calculus #integral"
YouTube Link 2025-07-07T14:58Z [----] followers, [----] engagements
"The Cosine and Sine in Terms of Complex Exponentials #math #maths #engineering Euler's formula establishes a fundamental relationship between complex exponentials and trigonometric functions. In electrical engineering it is very common to use Euler's formula to express the cosine and sine in terms of complex exponentials. #math #maths #physics #engineering #electricalengineering"
YouTube Link 2024-12-27T06:44Z [---] followers, [---] engagements
"Cartesian to Polar Transformation (dx dy = r dr d) #maths #calculus #integration When we transform an integral from Cartesian to polar coordinates the differential terms dx dy become r dr d. This video explains why. #math #mathematics #integral"
YouTube Link 2025-03-14T21:43Z [---] followers, [---] engagements
"How to Solve Double Integrals Part 1: Rectangular Regions Double integrals are an essential part of multivariable calculus. This video offers a step-by-step explanation of how to solve double integrals over rectangular regions. #maths #mathematics #calculus #integration #integral #multivariablecalculus"
YouTube Link 2025-04-24T15:45Z [----] followers, [--] engagements
"Op Amp Challenge Question Find the output voltage of this amplifier circuit consisting of three cascaded op amps. Let's solve this problem step by step #electrical #electricalengineering #electronic #electronics"
YouTube Link 2025-08-31T09:59Z [----] followers, [---] engagements
"Circuit Analysis Question #electricalengineering #electronics #electrical This circuit analysis question demonstrates the importance of understanding the fundamentals of voltage and current. #engineering #physics #electrical #electronic #electronics #electricalengineering"
YouTube Link 2025-04-28T15:56Z [----] followers, [---] engagements
"Electrical Fuses Explained in [--] Minute #electrical #electricalengineering #electricity A fuse is a safety device installed in electrical circuits to protect them from overcurrents. In just [--] minute lets explain how they work with an example. #electrical #electricalengineering #electronics #electronic #physics"
YouTube Link 2025-07-23T05:02Z [----] followers, [----] engagements
"Op Amp Circuit Question #electricalengineering #electrical #electronic #electronics Op amp question: Find the output voltage assuming the amplifier is ideal. #electrical #electricalengineering #electronics #electronic #electronicsengineering #circuit"
YouTube Link 2025-05-04T14:16Z [----] followers, [----] engagements
"A Neat Integration Trick #maths #calculus #integration Solving the integral of 1/(1+ex). The clever idea used in solving this integral comes up in many other integrals so it's a good idea to familiarize yourself with it. #math #maths #calculus #integration #differentiation #derivatives"
YouTube Link 2024-12-30T13:09Z [---] followers, [---] engagements
"Calculus Challenge Question #maths #calculus Can you solve this calculus challenge question A very fun problem that involves inverse functions derivatives and the chain rule as well as the Fundamental Theorem of Calculus (Part 1). #math #calculus #challenge"
YouTube Link 2025-07-25T14:27Z [----] followers, [----] engagements
"Can you solve this limit problem #maths #calculus"
YouTube Link 2025-07-03T17:13Z [----] followers, [----] engagements
"Integral of Odd Power of Cosine #maths #calculus #integration #integral #trignometry To integrate an odd power of a cosine or sine take the odd term out and let that term along with dx be du. Find u. Then express the even power that remains in terms of u by using the fundamental trigonometric identity cos2 + sin2 = [--]. The result will be an algebraic expression that is relatively easy to integrate. #maths #math #mathematics #calculus #integration #integral #trigonometry"
YouTube Link 2025-01-12T09:50Z [---] followers, [---] engagements
"AC Circuit Analysis Using Phasors Find the output voltage v(t) in this RLC circuit. The input voltage is 10cos(t) V. We'll use the phasor transform technique transforming this time-domain circuit into its frequency-domain equivalent. We'll find the impedance of each component: resistors inductor and capacitor and proceed with regular circuit analysis to obtain the phasor output voltage V. Then we'll transform it back to time domain to get the desired sinusoidal output v(t). #electrical #electricalengineering #electricalengineer #circuits"
YouTube Link 2025-10-02T16:02Z [----] followers, [---] engagements
"A Challenging Integral and a Creative Solution A creative solution to a challenging integral: the integral of ln(sin x) from [--] to /2. #maths #mathematics #calculus #integration #integral #challenge"
YouTube Link 2025-03-20T20:51Z [---] followers, [---] engagements
"Proving that a Tangent to a Circle is Perpendicular to its Radius #maths #calculus A fun and quick proof using calculus that a tangent to a circle is always perpendicular to its radius at the point of tangency. #math #calculus #geometry #proof"
YouTube Link 2025-07-01T19:06Z [----] followers, [----] engagements
"Is the Capacitor a Linear Circuit Element Full Explanation Are capacitors linear This seems to be a tricky question for many. I recently posted a poll on Instagram stories and the result was almost a 50/50 split Let's understand the current-voltage characteristic of the ideal capacitor and conclude that it is indeed linear. #electrical #electricalengineering #electronic #electronics"
YouTube Link 2025-06-28T08:39Z [----] followers, [--] engagements
"Complex Numbers Explained in [--] Minute: The Imaginary Unit i #maths #mathematics #math Complex numbers explained in one minute. Part 1: The imaginary unit i. This video explains what the number i means how to write the square root of any negative number in terms of i and how to find any integer power of i. #maths #mathematics #algebra #geometry #physics #engineering"
YouTube Link 2025-06-02T07:04Z [----] followers, [----] engagements
"How to Solve Any Op Amp Circuit In this circuit analysis exercise we find the ratio of the output voltage to the input current source in an op amp circuit. The methodology demonstrated in this solution can be used to analyze any ideal op amp circuit. #electrical #engineering #electricalengineering #electronics #electronicsengineering #physics #electronic #"
YouTube Link 2025-06-15T07:11Z [----] followers, [--] engagements
"XNOR Logic Gate #physics #electricalengineering #boolean The seventh and final logic gate the XNOR gate. Let me know what you'd like to see next in the series #physics #electricalengineering #computerscience #boolean #logical"
YouTube Link 2025-02-11T18:35Z [---] followers, [---] engagements
"Equivalent Resistance Calculation Easy Problem Find the equivalent resistance between terminals A and B. An easy problem but a great one to demonstrate series/parallel simplification techniques. #electrical #electricalengineering #electronics #electronic #physics"
YouTube Link 2025-05-06T09:27Z [----] followers, [---] engagements
"Can you find the equivalent resistance between terminals a and b #electricalengineering"
YouTube Link 2025-07-09T17:04Z [----] followers, [----] engagements
"How to Integrate tan3(x) Solving the integral of tan3(x) by rewriting tan(x) as sin(x) / cos(x). There are perhaps easier alternatives but it's a nice thought process to demonstrate. #maths #calculus #integral #integration #maths"
YouTube Link 2025-05-02T07:27Z [----] followers, [---] engagements
"Equivalent Resistance of a Cube (Two Methods) Find the equivalent resistance between A in B for this 3D cubic structure. My first "HARD" difficulty level equivalent resistance problem and one of my most requested videos I present two methods: tracking potential and tracking current. #electricalengineering #physics #electronics #circuits #engineering"
YouTube Link 2025-04-05T22:02Z [---] followers, [--] engagements
"Can You Solve This Trigonometric Integral #maths #calculus #integration Can you solve this trigonometric integral question Lets take a look at two methods to solve it: one using the double angle identity for cosine and one using the double angle identity for sine. #math #calculus #trigonometry #integral #integration"
YouTube Link 2025-10-02T16:21Z [----] followers, [---] engagements
"An Integral with a Hidden Substitution #maths #calculus #integration Sometimes the substitution you need to solve an integral won't be glaring at you you may have to look closely to find it. #math #calculus #integration"
YouTube Link 2025-01-03T18:42Z [---] followers, [--] engagements
"Passive vs Active Elements in Electric Circuits #electrical #electricalengineering #electronics In electric circuits there are two types of elements: passive and active. Lets understand the difference between them in [--] minute. #electrical #electricalengineer #electronic"
YouTube Link 2025-07-02T17:57Z [----] followers, [----] engagements
"Nodal Analysis Question - Step by Step Explanation Using nodal analysis (the node-voltage method) to find the power dissipated by a particular resistor in a circuit. Solving the same problem using mesh analysis left as a challenge for the viewer. #electricalengineering #physics #engineering #circuitanalysis"
YouTube Link 2025-04-14T12:08Z [---] followers, [--] engagements
"Resultant Vector Magnitude Calculation #math #physics #engineering Find the magnitude of the resultant of the three coplanar vectors A B and C. Lets resolve the vectors into their horizontal and vertical components and understand how to calculate the length of the resultant vector using the Pythagorean theorem. #maths #physics #engineering"
YouTube Link 2025-09-29T14:38Z [----] followers, [----] engagements
"Node Voltage Method - Challenging Problem Using nodal analysis find the power dissipated in the [--] resistor in the circuit shown. Definitely not the easiest method to solve this circuit exercise but if you had to use the node voltage method this is how you would do it #electrical #electricalengineering #electronics #electronic #circuitanalysis"
YouTube Link 2025-07-28T07:36Z [----] followers, [---] engagements
"Can You Solve This Differential Equation #maths #calculus Can you solve this differential equation Using laws of indices and the Leibniz notation for the derivative we separate the variables and integrate both sides. Whats your take on the challenge question Can you express the answer in explicit from #math #calculus #integral #differentialequations"
YouTube Link 2025-10-12T15:08Z [----] followers, [---] engagements
"Complex Number Representation: Cartesian/Rectangular Form #maths #mathematics #math"
YouTube Link 2025-06-07T19:07Z [----] followers, [--] engagements
"A Clever Substitution to Solve a Limit Question #math #calculus Can you solve this limit problem Multiplying the numerator and denominator by the radical conjugate does not help on this occasion. What does work though is a clever substitution #maths #calculus"
YouTube Link 2025-06-18T15:54Z [----] followers, [----] engagements
"Separable Differential Equation Solved Step by Step #maths #calculus #differentialequation Lets solve this separable differential equation step by step together. A nice exercise which encompasses algebraic manipulation integration by parts and the concept of explicit vs implicit solutions. #math #calculus #integration #integral #ode"
YouTube Link 2025-09-11T17:07Z [----] followers, [----] engagements
"The Real Difference between DC and AC #electricity #physics #engineering When people think DC they usually visualize a straight-line graph. The reality is that any waveform with only one polarity is DC. In a circuit this means that the current only flows in one direction. On the contrary when people think AC they usually visualize a sine or cosine. The reality is that any waveform with two polarities is AC. In a circuit this means that the current switches direction every half cycle. #electricalengineering"
YouTube Link 2024-12-29T07:35Z [---] followers, [---] engagements
"Why is Projectile Motion Parabolic #math #physics #proof Mathematical proof that projectile motion is parabolic. We resolve motion into horizontal and vertical components ignore air resistance and use the kinematic equations of motion under constant acceleration due to gravity. With this we demonstrate why the trajectory forms a parabola. The proof also connects to key results such as time of flight maximum height and horizontal range. #math #physics #engineering #proof"
YouTube Link 2025-09-03T17:24Z [----] followers, [---] engagements
"Calculus Related Rates Problem A calculus topic many students have a hard time with is related rates. The difficulty does not lie in the actual calculus but rather in the modeling of the problem. In this video I go through a full worked example demonstrating the thought process needed to solve calculus problems pertaining to related rates: "A trough of length [--] m has a uniform cross-section which is a trapezium with side lengths shown. Water leaks from the bottom of the trough at a constant rate of [---] m3 per minute. Find the rate at which the water level is falling at the instant when the"
YouTube Link 2025-06-07T10:16Z [----] followers, [--] engagements
"Combining Voltage Sources in Electric Circuits #electricalengineering #electrical #electronic In electric circuits voltage sources in series with one another can be combined together. Parallel setups are only possible if the two voltage sources are equivalent. #electrical #electricalengineering #electronics #electronic #circuits #engineering"
YouTube Link 2025-05-07T21:11Z [----] followers, [---] engagements
"Challenging Limit Problem #maths #calculus Can you solve this limit problem Well use the property of logarithms which allows us to bring the power of cot(x) down as a factor and then apply the LHospital rule to evaluate the limit. #math #calculus"
YouTube Link 2025-07-13T20:11Z [----] followers, [----] engagements
"Solving an Improper Integral and Graphing the Result #calculus #integration #integral Solving the improper integral of 1(1 x) and illustrating the divergent result graphically. #maths #mathematics #math #calculus #integration #integral #test #exam #smart #learning"
YouTube Link 2025-05-09T12:47Z [----] followers, [----] engagements
"Quick Trigonometric Puzzle #math #trigonometry #puzzle A fun and quick trigonometric exercise: if sin + cos = [--] what is sin cos #math #trigonometry #puzzle"
YouTube Link 2025-09-04T15:50Z [----] followers, [----] engagements
"Circuit Analysis Question: Load Current Calculation #electrical #circuits Find the load current of this circuit for a load resistance of [--] ohms [--] ohms and [--] ohms. While we can perform the complete analysis repeatedly for each load it would be more effective to consider the Thvenin equivalent of the circuit with respect to the pair of terminals to which the load is connected. Then we would arrive at a simple formula that allows us to find the load current for several load resistances with great ease. #electrical #electricalengineering #electricalengineer #circuits"
YouTube Link 2025-09-25T20:25Z [----] followers, [----] engagements
"Ideal Op Amp Circuit Challenge Question #electrical #electricalengineering Lets solve this ideal op amp circuit question. #electronics #electronic #electronicsengineering"
YouTube Link 2025-07-12T14:49Z [----] followers, [----] engagements
"Odd/Even Functions Explained in [--] Minute #maths #algebra #calculus Odd functions and even functions explained in [--] minute. #mathematics #maths #integration"
YouTube Link 2025-04-17T15:15Z [----] followers, [----] engagements
"An Insane Integral Feynman's Technique The most difficult integral you will see today solved using Feynman's Technique (differentiating under the integral sign) a famous integration method endeared to everyone who loves calculus. #maths #calculus #integration #integral"
YouTube Link 2025-04-11T07:47Z [---] followers, [---] engagements
"Nodal Analysis Explained #electricalengineering #circuitanalysis Using nodal analysis find the voltages at all nonreference nodes in this circuit. Well assign a reference node (ground) assume current directions throughout the circuit and apply KCL at each essential node. This gives us a system of equations that we can solve simultaneously for all unknown voltages. #electrical #electricalengineering #electronics #electronicsengineering"
YouTube Link 2026-02-17T16:33Z 13.8K followers, [----] engagements
"1-minute Integral Solution #maths #calculus #integral #integration Lets solve this integral in [--] minute. By using a clever substitution and interpreting the resulting integral as the area under the graph of the integrand we can solve this integral without even computing an antiderivative #math #calculus #integral #integration"
YouTube Link 2026-02-15T19:23Z 13.8K followers, 14.6K engagements
"Comparison Test Example Infinite Series #maths #calculus How do we use the Comparison Test to determine whether a series converges or diverges Lets see this through a worked example. #math #calculus"
YouTube Link 2026-02-13T21:15Z 13.8K followers, 16.6K engagements
"RMS Value of a Triangular Current Waveform #electrical #electricalengineering Why is the RMS value of a triangular wave equal to V / [--] and not [--] like a sine wave Lets break it down step by step using symmetry and smart integration. #electrical #electronics"
YouTube Link 2026-02-10T18:24Z 13.8K followers, [----] engagements
"Dont use L'Hpital's rule here Can you solve this limit problem #maths #calculus #engineering"
YouTube Link 2026-02-08T16:25Z 13.8K followers, 20.1K engagements
"Power Factor Correction in Electric Power Systems #electricalengineering Power factor (PF) is defined as the ratio of real (active) power P to apparent power S PF = P / S = cos where is the phase difference between voltage and current. A low power factor indicates that a significant portion of the current drawn from the source is reactive contributing no useful work but still increasing current flow in the system. Most industrial loads are inductive in nature such as induction motors and transformers. These loads draw a lagging current increasing the reactive power demand and causing the"
YouTube Link 2026-02-06T14:51Z 13.8K followers, [----] engagements
"Power Tower Equation #maths #challenge #puzzle Can you solve this power tower equation in under a minute #math #challenge #puzzle"
YouTube Link 2026-02-04T14:32Z 13.8K followers, 10.7K engagements
"Control Systems Exercise: Steady-State Response of a Closed-Loop System #electricalengineering Lets solve this control systems exercise together: find the steady-state value of the step response of the system illustrated in the block diagram. Comprising the closed-loop system architecture are the following fundamental components that allow for self-correction: * The Controller (G_c): The brain that processes the signal. * The Process or Plant (G): The physical system we are trying to influence. * The Output Transducer (H): Often a sensor that measures the output and feeds it back to the"
YouTube Link 2026-02-02T16:42Z 13.8K followers, [----] engagements
"How to Solve AC Circuits by Mesh Analysis Using mesh analysis lets find the labelled current in this RLC circuit fed by two sinusoidal voltages sources. Well first convert the circuit to its frequency domain equivalent by finding the impedances of the resistor capacitor and inductor as well as the phasor forms of the sources. Then well apply Kirchhoffs voltage law (KVL) to the two meshes to solve for the phasor expression of the unknown current. Finally we convert back to time domain to get the sinusoidal form of the target current. #electrical #electricalengineering #electronics"
YouTube Link 2026-02-01T17:24Z 13.8K followers, [---] engagements
"You Can Solve This Integral in [--] Minute #maths #calculus #integration #integral Lets integrate this rational function in [--] minute. The standard approach is to factorise the denominator and use partial fraction decomposition which is not too bad. But factoring out the highest power of x instead of the lowest one actually leads to a clever substitution that simplifies the solution a great deal. Some food for thought: What characteristic of the polynomial in the denominator makes this substitution work Can you generalize this #math #calculus #integration #integral"
YouTube Link 2026-01-28T15:44Z 13.8K followers, 97.9K engagements
"Capacitors in DC Circuits #electrical #electricalengineering To find the voltage across a capacitor in a DC circuit replace it with an open circuit and find the voltage across the open terminals. While we couldve used the node voltage method or mesh current method to solve this problem the method of tracing the voltage drops along the currents path instills in the viewer a good degree of familiarity with circuit fundamentals. #electricalengineering"
YouTube Link 2026-01-26T17:57Z 13.8K followers, [----] engagements
"Can You Solve This Math Olympiad Question #maths #challenge Most people only find TWO solutions to this equation. Can you find the third one before the video ends 🧐 This classic algebra puzzle is a staple in math competitions because it looks simple but hides a ghost solution. Its all about case analysis: [--] When the exponents are zero. [--] When the bases are equal. [--] The one everyone forgets. when the bases are negatives of each other Where youll see problems like this: 📍 AMC [--] / AMC [--] (American Mathematics Competitions) 📍 AIME (American Invitational Mathematics Examination) 📍 Mathcounts"
YouTube Link 2026-01-25T18:09Z 13.8K followers, [----] engagements
"Clever Integral Solution Involving Three Substitutions #calculus #maths #integration Lets solve this seemingly challenging integral involving a logarithm and trigonometric functions of different angles. A clever solution involving three substitutions #math #calculus #integration #integrals"
YouTube Link 2026-01-20T14:50Z 13.8K followers, 14.6K engagements
"MOSFET DC Circuit Analysis MOSFET circuits at DC: a full worked example. The objective of this exercise is to design the transistor circuit that is choose suitable values for the resistors connected to the drain and source terminals in order for the NMOS transistor to operate at a particular drain current and voltage. We can solve part of the problem using just Ohms law and simple circuit analysis but the remaining part needs knowledge of the operation mode of the transistor. #electrical #electricalengineering #electronics #electronicsengineering"
YouTube Link 2026-01-15T09:28Z 13.8K followers, [---] engagements
"Proof of the Geometric Dot Product Formula #maths #geometry #proof Proving the famous dot product formula for the angle between two vectors. #math #geometry #proof"
YouTube Link 2026-01-14T17:10Z 13.8K followers, [----] engagements
"Tricky Geometry Puzzle #maths #geometry #smart Can you solve this geometry puzzle Dont fall for the trick #maths #geometry #puzzle #smart"
YouTube Link 2026-01-12T17:39Z 13.8K followers, [----] engagements
"Transfer Function of a Series RLC Circuit #electrical #electricalengineering Lets find the transfer function of this series RLC circuit. The transfer function of a linear time-invariant (LTI) system (in this case the given circuit) is the ratio of the output signal (in this case the capacitor voltage) to the input signal (in this case the voltage source). The transfer function of an LTI system completely characterises it; it allows us to find the output of the system to an arbitrary input. For this reason you can think of the transfer function as a response-generating machine. To solve this"
YouTube Link 2026-01-10T18:42Z 13.8K followers, [----] engagements
"Equivalent Resistance of an Infinite Tower #electricalengineering #electronics Can you find the equivalent resistance of this infinite tower Lets solve this challenging problem using the Fundamental Theorem of Engineering. #electrical #electricalengineering #electronics"
YouTube Link 2026-01-08T16:07Z 13.8K followers, [----] engagements
"Inverse Laplace Transform Using Partial Fractions #maths #engineering Lets find the inverse Laplace transform of this expression in [--] minutes. Well decompose it into partial fractions and then use the First Translation Theorem of the Laplace transform. #math #engineering"
YouTube Link 2026-01-05T15:27Z 13.8K followers, [----] engagements
"Integrating by Completing the Square #maths #calculus #integration #integral Integrating the reciprocal of an irreducible quadratic by completing the square and relating it to the known arctan result. #maths #calculus #integration #integral"
YouTube Link 2026-01-01T16:15Z 13.8K followers, 32.6K engagements
"Current Division in Electric Circuits #electricalengineering Current division is a fundamental principle in electric circuit analysis. Lets understand it intuitively and mathematically. #electricalengineering"
YouTube Link 2025-12-30T15:43Z 13.8K followers, [----] engagements
"Math Olympiad Problem #maths #challenge Can you solve this math olympiad problem Lets have a go at it step by step together. While this exponential equation is not difficult enough for a high-level contest like the IMO (International Mathematical Olympiad) it does fit the category of a Junior or Intermediate Olympiad-style problem such as the AMC 10/12 in the US or the UKMT Intermediate Challenge. It is considered a competition problem because it cannot be solved using standard methods (like the quadratic formula) and instead requires algebraic insight pattern recognition or a clever"
YouTube Link 2025-12-27T14:41Z 13.8K followers, 13.9K engagements
"Maximum Power Transfer - Circuit Analysis Exercise #electrical #electricalengineering #electronics Finding the value of the load resistance that will draw maximum power from the circuit feeding it. To solve a maximum power transfer problem we find the Thvenin equivalent circuit with respect to the load. For maximum power transfer the load resistance must match the Thvenin resistance of the circuit. Usually we would get this by finding the equivalent resistance of the circuit as seen by the load replacing independent voltage sources with short circuits and independent current sources with open"
YouTube Link 2025-12-25T16:09Z 13.8K followers, [----] engagements
"Volume of a Pyramid Proof #maths #calculus #geometry #proof Proving that the volume of a pyramid is 1/3 its base area * height. In general the volume of a solid is the product of its cross-sectional area and length. But a pyramids cross section is not uniform it varies from zero at the peak to maximum at the base. So well have to consider the average cross-sectional area. However the average cross-sectional area is NOT half the base area This would only be true if the cross section were varying linearly and although this may seem to be the case because of the pyramids straight edges it is the"
YouTube Link 2025-12-22T23:13Z 13.8K followers, [----] engagements
"Solving a Circuit With an Op Amp AND Diode A circuit analysis problem involving an operational amplifier (op amp) and diode. Let's see how to solve it step by step together. Assuming the op amp is ideal we will take the voltage at the inverting terminal to be equal to that at the non-inverting terminal. Also an ideal op amp is assumed to have infinite input impedance so we will assume that zero current enters either terminal of the op amp. Using KCL we will arrive at a relationship between the diode current and output voltage. Then we will use the exponential model (the most accurate"
YouTube Link 2025-12-20T18:15Z 13.8K followers, [---] engagements
"Solving a Limit Using LHopitals Rule #maths #calculus A classic limit problem where LHpitals rule comes to the rescue #math #calculus #engineering #limits"
YouTube Link 2025-12-20T18:05Z 13.8K followers, [----] engagements
"Inverse Hyperbolic Sine as a Logarithm #maths #calculus #engineering A quick proof of the logarithmic equivalence of the inverse hyperbolic sine function. A nice exercise that brings together inverse functions laws of indices quadratic equations properties of the exponential function and more #math #calculus #engineering"
YouTube Link 2025-12-15T16:14Z 13.8K followers, [----] engagements
"AC Circuit Analysis: Phasor Transformation #electrical #electricalengineering"
YouTube Link 2025-12-12T18:08Z 13.8K followers, [----] engagements
"Tricky Equivalent Resistance Problem #electricalengineering #electronics Find the equivalent resistance between terminals a and b. Lets solve this problem step by step together. This question is fairly easy but the reason I classified it as moderate is because some students may struggle in making out which resistors are series/parallel when they are drawn in an unconventional way. #electricalengineering #electronics"
YouTube Link 2025-12-09T19:34Z 13.8K followers, [----] engagements
"Fourier Transform of Two-sided Decaying Exponential #maths #engineering Finding the Fourier transform of the two-sided decaying exponential exp(at). The Fourier transform is a powerful analytical tool studied in many electrical engineering courses such as circuit analysis signals and systems communication systems and digital signal processing. #math #engineering #electricalengineering"
YouTube Link 2025-12-08T02:55Z 13.8K followers, [----] engagements
"Limit Definition of e: Invalid Proof #maths #calculus #proof Eulers number e is famously known by its limit definition: the limit as x approaches infinity of (1 + 1/x)x. Using calculus lets prove that this limit is indeed e. But this seemingly legitimate proof is actually invalid Can you spot the mistake in this proof #math #calculus #proof"
YouTube Link 2025-12-04T15:42Z 13.8K followers, [----] engagements
"Limit Problem: Eulers Number e #maths #engineering #calculus Can you solve this limit problem in one minute Well take a quick look at the engineering method of showing this limit evaluates to e as well as a more formal mathematical way. #math #calculus #engineering"
YouTube Link 2025-12-01T15:54Z 13.8K followers, [----] engagements
"Equivalent Resistance Problem: Circular Path #electricalengineering Find the equivalent resistance between terminals X and Y. Lets break down this problem together. This question is fairly easy but it all boils down to understanding the role of the circular path or lack thereof. #electricalengineering #electronics"
YouTube Link 2025-11-28T15:17Z 13.8K followers, [----] engagements
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