Fundamentals of Electrical Engineering

Published by McGraw-Hill Education
ISBN 10: 0073380377
ISBN 13: 978-0-07338-037-7

Chapter 4 - AC Network Analysis - Part 1 Circuits - Homework Problems - Page 167: 4.2


a.) $-80*sin(20*t- \pi/2)$ b.) $200*cos(100*t)$ c.) $-480*cos(80*t+\pi/6)$ d.) $-300*sin(100*t +\pi/4)$ Units in mA

Work Step by Step

Start by using the equation $C*\frac{dV}{dt} = i$ to find current in each case In each case take the derivative of the voltage and multiply it by 100uF to get current a.) $i=-100*(40*20*sin(20*t-\pi/2))$ $i= -80*sin(20*t- \pi/2)$ mA b.) $i = 100*(20*100*cos(100*t)) $ $i = 200*cos(100*t) mA$ c.) $i = -100*(60*80*cos(80*t+\pi/6))$ $ i = -480*cos(80*t+\pi/6) mA$ d.) $i = -100*(30*100*sin(100*t + \pi/4))$ $ i = -300*sin(100*t +\pi/4) mA$
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