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 918: 58

Answer

$ I_5 = 1.6A$ and $V_5 = 8V$ $ I_{10} = 1.6A$ and $V_{10} = 16V$ $I_6 = 2.4 A$ and $ V_6 = 14.4V$ $I_4 = 2.4 A$ and $ V_4 = 9.6V$

Work Step by Step

$6\Omega$ is in series with $4\Omega$ and $5\Omega $ is in series with$10 \Omega $ and both these combinations are in parallel with each other. Thus $R_{eq} =6\Omega$ so $I= \frac{V}{R_{eq}} =\frac{24}{6}A = 4A$ let $I_1 $ be current through $5\Omega$ and $10\Omega$ and $I_2$ be current through $6\Omega $ and $4\Omega$ $ I_1 = \frac{24}{5+ 10}A = 1.6A$ $I_2 = \frac{24}{6+4}A = 2.4$ Now, $ I_5 = 1.6A$ and $V_5 = 1.6*5 V = 8V$ $ I_{10} = 1.6A$ and $V_{10} = 1.6*10 V =16V$ $I_6 = 2.4 A$ and $ V_6 = 2.4* 6V = 14.4V$ $I_4 = 2.4 A$ and $ V_4 = 2.4* 4V =9.6V$
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