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 27 - Gauss's Law - Exercises and Problems - Page 807: 28

Answer

${Q}/{\epsilon_0}$

Work Step by Step

According to Guassian law of closed surfaces, the electric flux is given by $$\Phi_e=\dfrac{Q_{in}}{\epsilon_0}$$ The given conductor is neutral but there is a charge of $Q$ inside its cavity, so the total inside charge of the closed surface is $Q_{in}=Q$. Hence, $$\boxed{\Phi_e=\dfrac{Q}{\epsilon_0}}$$
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