Physics Technology Update (4th Edition)

Published by Pearson
ISBN 10: 0-32190-308-0
ISBN 13: 978-0-32190-308-2

Chapter 21 - Electric Current and Direct-Current Circuits - Problems and Conceptual Exercises - Page 757: 49

Answer

$0.84\Omega $

Work Step by Step

We know that $ R_{eq1}=(\frac{1}{4.8\Omega}+\frac{1}{3.3\Omega}+\frac{1}{8.1\Omega})^{-1}=1.575\Omega $ Now $ R_{eq1}$ is in series with $6.3\Omega $ $\implies R_{eq2}=R_{eq1}+6.3\Omega=1.57\Omega+6.3\Omega=7.875\Omega $ The final equivalent resistance can be determined as $ R_{eq}=[(\frac{1}{1.5\Omega}+\frac{1}{2.5\Omega})+\frac{1}{R_{eq2}}]^{-1}$ $ R_{eq}=[(\frac{1}{1.5\Omega}+\frac{1}{2.5\Omega})+\frac{1}{7.875\Omega}]^{-1}$ $ R_{eq}=0.84\Omega $
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