Fundamentals of Physics Extended (10th Edition)

Published by Wiley
ISBN 10: 1-11823-072-8
ISBN 13: 978-1-11823-072-5

Chapter 27 - Circuits - Questions - Page 794: 7b

Answer

The current through $R_1$ is less than it was previously.

Work Step by Step

Let $\Delta V$ be the potential difference across the battery. Initially, the potential difference across $R_1$ is $\Delta V$ After $R_2$ is added in series, the sum of the potential differences across $R_1$ and $R_2$ is $\Delta V$ Therefore, the potential difference across $R_1$ is less than it was previously. Initially, the current through $R_1$ is $\frac{\Delta V}{R_1}$ After $R_2$ is added in series, the potential difference across $R_1$ decreases, so the current through $R_1$ also decreases. The current through $R_1$ is less than it was previously.
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