Physics Technology Update (4th Edition)

Published by Pearson
ISBN 10: 0-32190-308-0
ISBN 13: 978-0-32190-308-2

Chapter 21 - Electric Current and Direct-Current Circuits - Problems and Conceptual Exercises - Page 761: 112

Answer

$0.26M\Omega$

Work Step by Step

We can find the required resistance as follows: $\frac{1}{R}=-\frac{C}{t}\ln (1-\frac{V}{\mathcal{E}})$ We plug in the known values to obtain: $\frac{1}{R}=-\frac{110\times 10^{-6}F}{\frac{60s}{75}}\ln(1-\frac{0.25V}{9.0V})$ $\frac{1}{R}=3.87\times 10^{-6}\Omega^{-1}$ $R=0.26\times 10^{-6}\Omega$ $R=0.26M\Omega$
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