Physics: Principles with Applications (7th Edition)

Published by Pearson
ISBN 10: 0-32162-592-7
ISBN 13: 978-0-32162-592-2

Chapter 17 - Electric Potential - Problems - Page 497: 39

Answer

$6.3\times10^{-7}F$

Work Step by Step

Let $Q_i$ and $V_i$ denote the initial charge and voltage on the capacitor, and let $Q_f$ and $V_f$ denote the final charge and voltage. Equation 17–7, Q=CV, relates the charges and voltages to the capacitance. $Q_i=CV_i$ and $Q_f=CV_f$ $$Q_f-Q_i=CV_f-CV_i= C(V_f-V_i)$$ $$C=\frac{ Q_f-Q_i }{ V_f-V_i }=\frac{15\times10^{-6}C}{24V}=6.3\times10^{-7}F$$
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