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: 11b

Answer

The current through $R_1$ is the same as 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 parallel, the potential difference across each resistor is $\Delta V$ Therefore, the potential difference across $R_1$ is the same as it was previously. Initially, the current through $R_1$ is $~~i_1 = \frac{\Delta V}{R_1}$ After $R_2$ is added in parallel, the current through $R_1$ is still $~~i_1 = \frac{\Delta V}{R_1}$ The current through $R_1$ is the same as it was previously.
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