A square wave current(up to 5th harmonic only) flows in a 3 Ohms resistor. Determine the average powerconsumption of the load. The answer is provided at bottom right.The equation of the wave is as follows:i(t) = 5+ 6.366 sin(120zt) + 2.122 sin(360zt) + 1.273sin(600rt)Black: 5Ans: 144.97 WGreen: 6.366 sin(120nt)Blue: 2.122 sin(360nt)Red: 1.273 sin(600nt)Orange: i(t)If you try to include the next harmonics in the computations, the averagepower will slowly reach 150 W. This is because, the current is a 10-Apulsating square wave. The complete equation can be achieved usingFourier series(EE235- ENGINEERING MATH FOR EE)

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Answered: A square wave current(up to 5th…

A square wave current(up to 5th harmonic only) flows in a 3 Ohms resistor. Determine the average power consumption of the load. The answer is provided at bottom right.

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

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Question

A square wave current(up to 5th harmonic only) flows in a 3 Ohms resistor. Determine the average power
consumption of the load. The answer is provided at bottom right.
The equation of the wave is as follows:
i(t) = 5+ 6.366 sin(120zt) + 2.122 sin(360zt) + 1.273sin(600rt)
Black: 5
Ans: 144.97 W
Green: 6.366 sin(120nt)
Blue: 2.122 sin(360nt)
Red: 1.273 sin(600nt)
Orange: i(t)
If you try to include the next harmonics in the computations, the average
power will slowly reach 150 W. This is because, the current is a 10-A
pulsating square wave. The complete equation can be achieved using
Fourier series(EE235- ENGINEERING MATH FOR EE)

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