Electrical potential energy is a type of potential energy that results from the Coulomb force and is associated with point loads in a defined system.
For a point charge in the presence of an electric field E produced by another point charge Q, electrostatic potential energy is defined as the negative of the work done by the electrostatic force to carry the charge from position A to position B: mathematically this is a line integral.
The electric field is conservative, and, for a point charge, it is radial, so the work is independent of the trajectory.
