By saying that the electrostatic field is conservative, we do not mean that:_______ The potential difference between any two points is zero. It is the gradient of scalar potential. Its circulation is identically zero along any path. Its curl is identically zero everywhere. The work done in moving a charge along closed path inside the field is zero.

ii. a vector field where the integral along every closed path is zero. This means that the work done in a closed cycle is zero. For an electrostatic field, the charge along closed path inside the field is zero. Hence, electrostatic field is conservative.

iii. a vector field if curl of its potential(vector product of the del operator and the potential) is zero. The curl of electrostatic field is identically zero everywhere.

iv. a vector field whose circulation is zero along any path.

v. a vector field whose potential difference between two points is independent of the path taken. The potential difference between any two points is not necessarily zero.

Other examples of conservative fields are;

i. gravitational field.

ii. magnetic field.

Tundexi Tundexi · Answer 2 · 2022-03-21T15:30:51+01:00

When we say that electrostatic field is conservative, we do not mean that the potential difference between any two points is zero.

What is a conservative field?

A conservative field refers to a form of force between the Earth and another mass whose work is determined only by the final displacement of the object acted upon.

What we mean by saying an electrostatic field is conservative includes:

It is the gradient of scalar potential
Its circulation is identically zero along any path
Its curl is identically zero everywhere
The work done in moving a charge along closed path inside the field is zero.

Hence, when we say that electrostatic field is conservative, we do not mean that the potential difference between any two points is zero.

Therefore, the Option A is correct.