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 756: 42

Answer

Please see the work below.

Work Step by Step

We can find the required combination as follows: The parallel combination of resistors $R_1$ and $R_2$ gives $R^{\prime}=\frac{R_1\times R_2}{R_1+R_2}$ $\implies R^{\prime}=\frac{220\Omega\times 79\Omega}{220\Omega+79\Omega}$ $R^{\prime}=58\Omega$ Now $R^{\prime}$ is connected in series with $R_3$ to give $R_{eq}=R^{\prime}+R_3$ We plug in the known values to obtain: $R_{eq}=58\Omega+92\Omega$ $R_{eq}=150\Omega$ Thus, the required connections should be $R_1||R_2$ and $R_3$ in series.
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