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: 59

Answer

$V_3 = 6V $ and $I_3 = 2A$ $V_{16} = 6V $ and $ I_{16} = 0.375A $ $V_{48} = 6V $ and $ I_{48} = 0.125A$ $V_{4} = 6V $ and $ I_{4} = 1.5A$

Work Step by Step

$16\Omega$, $48\Omega$ and $4\Omega$ are in parallel with each other. this combination is in series with$3\Omega$. thus $R_{eq} =6\Omega$ now $I = \frac{V}{R_{eq}} =\frac{12}{6}A = 2A$ current through $3\Omega$ is $2A$ potential drop across $3\Omega$ $V_3 = IR =2*3 V = 6V$ potential drop across $16\Omega$, $48\Omega$ and $4\Omega$ is same and is equal to $V = 12V - 6V = 6 V$ now $V_3 = 6V $ and $I_3 = 2A$ $V_{16} = 6V $ and $ I_{16} = \frac{6}{16}A =0.375A $ $V_{48} = 6V $ and $ I_{48} = \frac{6}{48}A = 0.125A$ $V_{4} = 6V $ and $ I_{4} = \frac{6}{4}A = 1.5A$
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