The value of the electric potential, \(V\), at some position in space, \(\vec r\), allows us to determine the electric potential energy, \(U\), at that position for any charge, \(q\): \[\begin{aligned...The value of the electric potential, \(V\), at some position in space, \(\vec r\), allows us to determine the electric potential energy, \(U\), at that position for any charge, \(q\): \[\begin{aligned} U = qV\end{aligned}\] This is analogous to determining the force on a charge \(q\) when we know the electric field at some point in space: \[\begin{aligned} \vec F = q \vec E\end{aligned}\] Differences in electric potential are called “voltages”, and the S.I.
