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### College Physics (Urone)

Book edition 1st Edition
Author(s) Paul Peter Urone
Pages 1272 pages
ISBN 9781938168000

# What is the strength of the electric field in a region where the electric potential is constant?

The electric field’s strength will be zero in a region with constant electric potential.

See the step by step solution

## Step 1: Definition of the electric field

The change in potential with respect to the position gives the electric field strength. Its direction is opposite to the potential gradient.

$$E = - \frac{{dV}}{{dx}}$$

## Step 2: calculating the electric field’s strength in a region with constant electric potential

In the region where electric potential is constant, the change in potential with respect to the position is zero.

That means the electric field strength will be zero.