Distinguish between the electric potential and potential energy and state the relation between them.

Explanation

While electric potential is work done per unit charge the potential energy is the total work done in bringing different charges from infinity to their respective positions.
`V=(1)/(4piepsi_(0)).(q_(1))/(r)andU=(1)/(4piepsi_(0)).(q_(1)q_(2))/(r)`
`U=q_(2)[(1)/(4piepsi_(0)).(q_(1))/(r)]=q_(2)V`
`:.` Electric potential energy =charge `q_(2)xx` potential due to charge `q_(1)` at the location of charge `q_(2)`