Fundamentals of Physics Extended (10th Edition)

Published by Wiley
ISBN 10: 1-11823-072-8
ISBN 13: 978-1-11823-072-5

Chapter 23 - Gauss' Law - Questions - Page 677: 2

Answer

The electric field is the same at any point on the three Gaussian surfaces.

Work Step by Step

According to Gauss' law: $\Phi = \frac{q_{enc}}{\epsilon_0}$ Also, for each of these three cylinders with the same surface area $A$: $\Phi = E~A$ Then, for each of these three Gaussian surfaces: $E~A = \frac{q_{enc}}{\epsilon_0}$ $E = \frac{Q}{A~\epsilon_0}$ The electric field is the same at any point on the three Gaussian surfaces.
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