ADDITION AND SUBSTRACION OF PHASORS EXAMPLE 2 - AC CIRCUITS

This video provides a detailed, step-by-step walkthrough of a complex phasor addition and subtraction problem in AC circuit analysis (Example 2). It focuses on finding the unknown current I4 at a node where multiple currents with different frequencies and phase angles converge. The tutorial explains how to group and add phasors with the same frequency by resolving them into their X (cosine) and Y (sine) components, calculating the resultant magnitude and phase angle, and finally combining the results for each frequency group to form the complete solution. 00:00:00 - Introduction and Problem Setup (Finding I4 at a Node) 00:00:56 - Key Principle: Grouping Phasors by Frequency (ωt vs. 3ωt) 00:03:02 - Focusing on the ωt Frequency Components 00:04:33 - Method: Resolving Phasors into X and Y Components 00:08:09 - Calculating the X Component for the ωt Group 00:09:07 - Calculating the Y Component for the ωt Group 00:12:08 - Finding the Resultant Peak Value for the ωt Group 00:13:54 - Finding the Phase Angle (θ) for the ωt Group 00:16:14 - Writing the Final Expression for the ωt Part of I4 00:18:40 - Transition to the 3ωt Frequency Components 00:19:50 - Drawing Phasor Diagram for the 3ωt Group 00:22:29 - Correcting the Phase (Leading vs. Lagging) for the 3ωt Group 00:23:42 - Calculating the X and Y Components for the 3ωt Group 00:26:49 - Finding the Resultant Peak Value for the 3ωt Group 00:28:06 - Finding the Phase Angle (θ) for the 3ωt Group 00:29:50 - Writing the Final Expression for the 3ωt Part of I4 00:31:41 - Final Result: The Complete Harmonic Expression for Current I4 #Phasors #ACCircuits #ElectricalEngineering #CircuitAnalysis #PhasorAddition #HarmonicAnalysis #EngineeringMath #MaterialsScience #MaterialsEnggineering #MaterialsScienceandEngineering #Alright