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 - Problems - Page 680: 24a

Answer

The magnitude of the electric field at $r = \frac{R}{2.00}$ is zero.

Work Step by Step

We can draw a Gaussian cylinder of radius $r = \frac{R}{2.00}$ that has the same axis as the charged cylinder. Since the enclosed charge in the Gaussian cylinder is zero, the magnitude of the electric field at $r = \frac{R}{2.00}$ is zero.
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