Question

What is not true for an equipotential surface for a uniform electric field?

• A. Equipotential surface is flat
• B. Work done is zero
• C. Equipotential surface is spherical
• D. Electric lines are perpendicular to equipotential surface

Answer 1

The correct option is C

Equipotential surface is spherical

Explanation of the correct answer:
Option C
1. An equipotential surface can take any space.

2. There is no potential difference along any direction which is parallel to the equipotential surface, therefore the electric field is perpendicular.

3. For any isolated surface, an equipotential surface is a sphere but it is not always a shape of a sphere.
Explanation of the incorrect options:

Option A

1. An equipotential surface has the same charges on all points of the surface. So, it can be flat also.

Option B
1. In an equipotential surface, the potential is constant at any point on the surface.

2. Work done in moving a charge in an equipotential surface is zero.

Option D
1. There is no potential difference along any direction which is parallel to the equipotential surface, therefore the electric field is perpendicular. So, electric lines are perpendicular to the equipotential surface.
Hence, option C is the correct option.