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

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What is Electric Potential?

Electric potential (V) is the property of points in space. Electric potential can be defined in several ways:

1. 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.

2. 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:
$$U = \frac{kq_1q_2}{r}$$