Electric Potential energy definition
Electric potential energy can be defined in two ways i.e. by means of electric field and electric potential
Electric potential energy in terms of electric field
The electrostatic potential energy, UE, of one point charge q at position r in the presence of an electric field E is defined as the negative of the work W done by the electrostatic force to bring it from the reference position r to that position r, where E is the electrostatic field and ds is the displacement vector in a curve from the reference position r to the final position r.