University Physics with Modern Physics (14th Edition)

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

Chapter 24 - Capacitance and Dielectrics - Problems - Discussion Questions - Page 808: Q24.6

Answer

See explanation.

Work Step by Step

The capacitance is halved. For a parallel-plate capacitor, $C=\frac{\epsilon_oA}{d}$. The electric field is halved, because for a parallel-plate capacitor, $E=\frac{V}{d}$. The charge Q is halved. $Q=CV$ and the capacitance is halved while the potential difference stays the same. The stored energy is halved, because $U=\frac{1}{2}CV^2$ and the capacitance is halved while the potential difference stays the same.
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