What is the relation between ‘Electric Potential’ and ‘Electric Potential Energy’? What is the relation between ‘Electric Potential’ and ‘Electric Potential Energy’?
 A: *

*Electric potential energy $U_e$ is the potential energy stored when charges are out of equilibrium (like gravitational potential energy).

*Electric potential is the same, but per charge, $\frac{U_e}q$. (Useful when comparing different points.) 

*An electric potential difference between two points is called voltage, $V=\frac{U_{e2} }q-\frac{U_{e1}} q$. 
A: What is Electric Potential?
Electric potential (V) is the property of points in space. Electric potential can be defined in several ways:


*

*The value of the electric potential at a point in space numerically gives the amount of work that needs to be done to bring a unit positive charge from infinity to that point.

*A charge $q$ is said to have a potential energy of $Vq$ if it is at a point in space which has a potential of $V$.
For example, if you place a charge $q$ at a point, space nearby will have a non-zero value of potential. The electric potential at a point due to a charge at a distance $r$ from it is given by:
$$V = \frac{kq}{r}$$
What is Electric Potential Energy?
Electric potential energy (U) is the property of a system. Two charges in the vicinity of each other are said to have potential energy.
The electric potential energy associated with two charges separated by a distance $r$ is given by:
$$U = \frac{kq_1q_2}{r}$$
A: The electric potential, $\Delta V$ is equal to the change in electric potential energy, $\Delta U$ per unit charge, so 
$$\Delta U= q\,\Delta V$$
where $q$ is the charge and for an electron $q=-e$
For more information (including the derivation) see https://physics.info/electric-potential/
A: Yes there is! First, electric potential is measured in volts ($V$) and electric potential energy is measured in joules ($J$). Now if it sounds familiar is that both tell you about an energy quantity $V=\frac{J}{C}$. Indeed, in electromagnetism, the potential is seen as the electric field, multiplied by the distance between the source (for example a point charge) and the point on which you want to calculate the potential in volts.
