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 171: 4.41

Answer

$e^{-\frac{\pi}{2}}$ $-1$

Work Step by Step

Start by noticing that j can be written as ${e^{j\frac{\pi}{2}}} ^j = e^{j^2 \frac{\pi}{2}} = e^{-\frac{\pi}{2}}$ $e^{j\pi} = cos(\pi) + jsin(\pi) = -1 $
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