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 915: 3

Answer

$I = 5 A$ This current flows toward the junction, that is, upward

Work Step by Step

The current in the $2\text{ }\Omega$ resistor is $I_1 = 4\text{ V}/2\text{ }\Omega = 2 \text{A} $ to the left. The current in the $5\text{ }\Omega$ is $ I_2 = 15\text{ V}/5\text{ }\Omega = 3 \text{A} $. Using Kirchoff's juction law, we see that $$I = I_1 + I_2 = 2 \text{A} + 3 \text{A} = 5 \text{A}$$ This current flows away from the junction, to the left.
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