Electric potential energy refers to the energy a charge possesses due to its position in an electric field, while electric potential is the potential energy per unit charge at a specific point in that field. When calculating potential difference, it is asking for the change in electric potential between two points, which can be derived from the work done on a charge moving through the field. The relationship between potential difference and work is expressed as the change in potential energy divided by the charge. Understanding these concepts is crucial for solving problems in electrostatics and requires a solid grasp of the underlying principles of electric fields.