University Physics with Modern Physics (14th Edition)

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

Chapter 22 - Gauss's Law - Problems - Discussion Questions - Page 744: Q22.6

Answer

It is possible, if you measure the electric flux through the sides of the box.

Work Step by Step

You should measure the electric field everywhere, just outside the box, and then determine the total electric flux through the sides of the box. $\Phi_{EA}=\frac{+q}{\epsilon_0}$. The net charge enclosed is $q=\epsilon_0 \Phi_{EA}$.
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