AC Circuit Power Calculation: Time-Varying Current & Voltage Solved

AC Circuit Power Calculation: Time-Varying Current & Voltage Solved : Instantaneous Power in AC Circuits: From Circular Motion to Solved Problems

Video Description:

🚀 Master Instantaneous Power in AC Circuits!

Dive deep into the fascinating world of AC circuits as we break down a classic problem: calculating the instantaneous power delivered to an element with time-varying current and voltage. This comprehensive problem walkthrough goes beyond just the math, connecting complex AC waveforms back to their simple origins in circular motion.

What you'll learn in this video:

Understanding Sinusoidal Waveforms: Discover how alternating current (AC) and voltage are inherently linked to circular motion, providing a clear visual and mathematical foundation for i(t)=I cos(ωt) and v(t)=V cos(ωt).
Key AC Concepts Explained: Grasp the meaning of angular velocity (ω), period (T), and frequency (f) in the context of sinusoidal signals.
Calculating Instantaneous Current & Voltage: See how to evaluate i(t) and v(t) at a specific moment in time (e.g., t=3 ms).
Power Calculation for Resistive Elements: Learn how to determine power delivered to a resistive-like element using P=VI when v(t) is directly proportional to i(t) (Ohm's Law).
Power Calculation for Inductive Elements: Explore the intriguing case of inductive-like elements where voltage depends on the rate of change of current (v(t) = L di/dt), and understand the implications of negative instantaneous power (power being returned to the source) and voltage spikes.
Practical Problem-Solving: Follow along step-by-step as we solve a real-world electrical engineering problem, building your confidence in AC circuit analysis.
This tutorial is perfect for electrical engineering students, technicians, or anyone looking to solidify their understanding of AC power fundamentals and time-varying signals. Don't just calculate; understand why AC behaves the way it does!

⏰ Timestamps:

0:00 Introduction to the Problem
0:31 The Origin of Sinusoidal Waveforms: Circular Motion Explained
1:42 Understanding Angular Velocity (ω), Period (T), and Frequency (f)
4:21 Connecting Circular Motion to AC Current (i(t))
5:26 Analyzing the Given Current: i(t)=5cos(60πt)
6:24 Solving Part (a): Power Delivered to a Resistive Element (v(t)=3×i(t))
7:10 Solving Part (b): Power Delivered to an Inductive Element (v(t)=derivative of i(t))
8:36 Interpreting Negative Power and Voltage Spikes
🔗 Resources & Related Videos:

[   • Electronic Foundations : Voltage Current a...  ]
[   • Ohms Law Explained | Practice Problems  ]
👍 Liked this video?
Give it a thumbs up and subscribe to our channel for more electrical engineering tutorials, problem walkthroughs, and in-depth explanations!
🔔 Hit the notification bell so you don't miss our next video!

💬 Have questions or want to suggest a topic?
Leave a comment below! We love hearing from you.

#ACCircuits #ElectricalEngineering #PowerCalculation #InstantaneousPower #CircuitAnalysis #TimeVaryingCurrent #Voltage #SinusoidalWaveforms #ResistorPower #InductorPower #ProblemWalkthrough #CircuitTheory #EngineeringEducation #Physics #Electronics #OhmLaw #DiDt #ACPower