ELECTRIC POTENTIAL

 Electric potential :-

        Curl of electrical field is zero therefore, electric field is conservative field. Scalar potential is defined only for conservative field.

       In the following we first show that curl of electric field is zero . We know field of a point charge at the origin.

   

 If we take the integral along a closed path

Then,

.

Apply Stoke theorm 

 Here, 

This result can be generalised for any charge distribution using the principal of superposition.

The general result is