# If two points are at the same potential, does this mean

## Problem 1Q Chapter 17

Physics: Principles with Applications | 6th Edition

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Physics: Principles with Applications | 6th Edition

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Problem 1Q

If two points are at the same potential, does this mean that no net work is done in moving a test charge from one point to the other? Does this imply that no force must be exerted? Explain.

Step-by-Step Solution:

Step-by-step solution

Step 1 of 1 </p>

Φa  ;electric potential at point A

Φb  ;electric potential at point B

U; electric potential difference between A and B

Step 2 of 3</p>

When a charged particle q goes from point A to B its potential energy change is;

Potential energy of the system changes when work is done. So work done is equal to change in potential energy.

A charged particle goes from point A to B having equal potentials. If point A an B have equal electric potentials, Potential difference between point A and B is zero.

Step 3 of 3

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