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 - Questions - Page 494: 16

Answer

a. The stored energy decreases. b. The stored energy increases.

Work Step by Step

Inserting a dielectric increases the capacitance by a factor of $\kappa$. a. If Q does not change, equation 17-10 shows that PE changes from $\frac{1}{2}\frac{Q^{2}}{C}$ to $ \frac{1}{2}\frac{Q^{2}}{\kappa C}$. The stored energy decreases. b. If the voltage does not change, equation 17-10 shows that PE changes from $\frac{1}{2} CV^{2}$ to $\frac{1}{2} \kappa CV^{2}$. The stored energy increases.
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