Physics Technology Update (4th Edition)

Published by Pearson
ISBN 10: 0-32190-308-0
ISBN 13: 978-0-32190-308-2

Chapter 20 - Electric Potential and Electric Potential Energy - Problems and Conceptual Exercises - Page 721: 80

Answer

The magnitude of the charge is cut in half.

Work Step by Step

The charge on a capacitor is equal to $$Q=CV$$ Since the capacitance equals $C=\frac{\epsilon_o A}{d}$, the charge becomes $$Q=\frac{V\epsilon_o A}{d}$$ Therefore, as distance between plates doubles, the new charge $Q'$ equals $$Q'=\frac{V\epsilon_o A}{2d}=\frac{1}{2}(\frac{V\epsilon_o A}{d})=\frac{1}{2}Q$$ Therefore, the magnitude of the charge is cut in half.
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