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 - Exercises - Page 747: 22.27

Answer

The electric field for $S_2$ and $S_3$ is zero while for $S_4$ is $E = \sigma / \epsilon_{o}$

Work Step by Step

Both $S_2$ and $S_3$ are outside the plates, so they enclose zero charges while $S_4$ is between the two plates, so the electric field for $S_4$ is \begin{gather} E A=q / \epsilon_{o}\\ E = q / \epsilon_{o} A\\ \boxed{E = \sigma / \epsilon_{o}} \end{gather}
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