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 - Problems - Page 798: 51b

Answer

The voltmeter reading is $~~4.86~V$

Work Step by Step

The equivalent resistance of $R$ and the ammeter is $88.0~\Omega$ We can find the equivalent resistance of $R$ and the ammeter, and the voltmeter, which are in parallel: $\frac{1}{R_{eq}} = \frac{1}{88.0~\Omega}+ \frac{1}{300~\Omega}$ $R_{eq} = 68.0~\Omega$ The equivalent resistance of the circuit is then $168~\Omega$ We can find the total current in the circuit: $i = \frac{12.0~V}{168~\Omega} = 71.4~mA$ We can find the potential difference across $R_0$: $\Delta V = (71.4~mA)(100~\Omega) = 7.14~V$ Then the potential difference across the voltmeter is $12.0~V-7.14~V = 4.86~V$ The voltmeter reading is $~~4.86~V$
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