# Electric Potential Energy

Show/Hide Sub-topics (Electric fields | A Level)

Electric potential energy of a charge in an electric field is defined as the work done by an external force in bringing the charge from infinity to that point a distance r away.

$U = \frac{Q_{1} Q_{2}}{4 \pi \epsilon_{o} r}$

, where

• U is electric potential energy,
• Q is charge,
• r is distance between the two charges,
• $\epsilon_{o}$ is the permittivity of free space

The electron volt is defined as energy that an electron (or proton) gains (or loses) when it is accelerated(or decelerated) through a potential difference of 1 volt.

Charge of an electron, e = 1.602 x 10-19 C