The electric potential is given by the following formula:
E = -∇V

From Null Identity we know that a curl-free field can be expressed as the gradient of a scalar field. We call this scalar field a scalar electric potential V.

NB! If a charge is being moved, then we have a current in the same direction as the electric field. Therefore a work can only be done in the reserve direction of electric field, otherwise the work is 0.

Electric potential V is related to the work done in carrying a charge from one point to another, no matter which path we choose the potential is the same.

Work done by carrying a single charge is given by: 
 
Potential difference or voltage can be determined by: