University Physics with Modern Physics (14th Edition)

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

Chapter 23 - Electric Potential - Problems - Discussion Questions - Page 777: Q23.12

Answer

No.

Work Step by Step

The electric field at a point depends on how the electric potential is changing at that point, as displayed in equation 23.20. Merely knowing the value of the potential at one point is insufficient to determine E. For example, consider the following 2 cases where V = 0 at a point, but the electric fields E are different. 1. a point halfway between 2 equal and opposite charges, as in Figure 23.23b. The electric potential is zero there, but the electric field is nonzero, and points toward the negative charge. 2. A point in empty space. V = 0 and E = 0.
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