Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)

Published by Pearson
ISBN 10: 0133942651
ISBN 13: 978-0-13394-265-1

Chapter 26 - Potential and Field - Exercises and Problems - Page 740: 68

Answer

$C = 5.0~\mu F$

Work Step by Step

In series, the charge $Q$ on each capacitor is equal. Since the potential difference across the unknown capacitor is $6.0~V$, the potential difference across the $10~\mu F$ capacitor is $3.0~V$ We can find the capacitance $C$ of the unknown capacitor: $Q = (10~\mu F)(3.0~V) = (C)(6.0~V)$ $C = \frac{(10~\mu F)(3.0~V)}{6.0~V}$ $C = 5.0~\mu F$
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