Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 1 - Equations and Inequalities - 1.3 Complex Numbers - 1.3 Exercises: 85

Answer

$E=2+62i$

Work Step by Step

$I=5+7i$ $;$ $Z=6+4i$ Ohm's Law is defined by the equation $E=IZ$. In this case, $E$ is unknown. Substitute $I$ and $Z$ into Ohm's Law equation: $E=(5+7i)(6+4i)=...$ Evaluate the product indicated to find $E$. Do so by multiplying each term of the first factor by every term of the second factor: $...=30+20i+42i+28i^{2}=...$ Substitute $i^{2}$ by $-1$ and simplify: $...=30+62i+28(-1)=30+62i-28=2+62i$
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