Electric potential energy is defined as the total amount of work done by an external agent in moving a charge from an arbitrarily chosen reference point, which we usually take as infinity ( as it is assumed that electrical potential of a charge at infinity is zero) to that position without any acceleration. For any charge, an electric potential is obtained by dividing the electric potential energy by the quantity of charge.
Electric Potential Difference
In an electrical circuit, the electric potential between two points is defined as the amount of work done by an external agent in moving a unit charge from one point to another.
Mathematically, E = W/Q
Where, E = electrical potential difference between two points
W = Work done in moving a change from one point to another
Q = the quantity of charge in coulombs
The potential difference is measured by an instrument called voltmeter. The two terminals of a voltmeter are always connected parallel to the points whose potential is to be measured.