University Physics with Modern Physics (14th Edition)

Published by Pearson
ISBN 10: 0321973615
ISBN 13: 978-0-32197-361-0

Chapter 26 - Direct-Current Circuits - Problems - Discussion Questions - Page 873: Q26.20

Answer

See explanation.

Work Step by Step

Equation 26.17 gives the current in a discharging RC circuit as a function of time. One can measure the initial current $I_o$, the current $I$ at a known time t after the switch is closed, and the capacitance. From these values, the unknown resistance R may be determined. $R=\frac{-t}{C\;ln(I/I_o)}$
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