Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (3rd Edition)

Published by Pearson
ISBN 10: 0321740904
ISBN 13: 978-0-32174-090-8

Chapter 29 - Potential and Field - Exercises and Problems - Page 864: 47

Answer

$1.11\;\rm nC$

Work Step by Step

Since the copper is a conductor and since the potential inside the conductor is the same everywhere else on the same conductor, the potential of the surface of this copper sphere is also 500 V. Thus, $$V_{\rm surface}=\dfrac{k_eQ}{R}$$ Solving for $Q$, $$Q=\dfrac{V_{\rm surface} R}{k_e}$$ Plug the known; $$Q=\dfrac{(500)(0.02)}{(9\times 10^9)}$$ $$Q=\color{red}{\bf 1.11}\;\rm nC$$
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