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 802: 94c

Answer

The equivalent resistance is $~~30.0~\Omega$

Work Step by Step

If we imagine that a battery is connected between B and C, the current could flow across the left resistance, and then across either the middle resistance or the right resistance. Therefore the middle resistance and the right resistance are in parallel. We can find the equivalent resistance of the middle and the right: $\frac{1}{R_{eq}} = \frac{1}{20.0~\Omega}+\frac{1}{20.0~\Omega}$ $\frac{1}{R_{eq}} = \frac{2}{20.0~\Omega}$ $R_{eq} = \frac{20.0~\Omega}{2}$ $R_{eq} = 10.0~\Omega$ Then the equivalent resistance of the circuit is $~~10.0~\Omega+20.0~\Omega = 30.0~\Omega$ The equivalent resistance is $~~30.0~\Omega$
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