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: 11d

Answer

The total current through $R_1$ and $R_2$ together is more than the current through $R_1$ 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 $\Delta V$ 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 $~~i_1 = \frac{\Delta V}{R_1}$ After $R_2$ is added in parallel, the current through $R_2$ is $~~i_2 = \frac{\Delta V}{R_2}$ After $R_2$ is added in parallel, the total current is $(i_1+i_2)$ which is more than the previous current of $i_1$ The total current through $R_1$ and $R_2$ together is more than the current through $R_1$ previously.
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