Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (3rd Edition)

Published by Pearson
ISBN 10: 0321740904
ISBN 13: 978-0-32174-090-8

Chapter 31 - Fundamentals of Circuits - Exercises and Problems - Page 917: 40

Answer

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Work Step by Step

$$\color{blue}{\bf [a]}$$ To have a net resistance of 4 $\Omega$ from the three 12-$\Omega$ resistors, we need to connect the three in parallel as one combination. See the first figure below. $$\color{blue}{\bf [b]}$$ To have a net resistance of 8 $\Omega$ from the three 12-$\Omega$ resistors, we need to connect two of them in series as one combination. And then connecting this combination in parallel to the third resistor. See the second figure below. $$\color{blue}{\bf [c]}$$ To have a net resistance of 18 $\Omega$ from the three 12-$\Omega$ resistors, we need to connect two of them in parallel as one combination. And then connecting this combination in series to the third resistor. See the third figure below. $$\color{blue}{\bf [d]}$$ To have a net resistance of 36 $\Omega$ from the three 12-$\Omega$ resistors, we need to connect the three of them in series as one combination. See the fourth figure below.
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