Prove that electrostatic forces are conservative in nature and define electrostatic potential energy.

Explanation

When an external force does work in taking a charge from a point to another against a electrostatic force the work gets stored as potential energy of the charge and when the external force is removed the charge moves gaining kinetic energy The sum of kinetic and potential energies is thus conserved and hence electrostatic forces are conservative in nature.
Definition of electrostatic potential energy: The work done in a direction, opposing the electric field in bringing a unit positivee charge with constant speed from an infinite position to any point in the electric field is called the static electnic potental energy at that particular point.