electric potential Consider a point charge Q and two points A and B as shown in the fig.e2. The work required to move a unit charge from B to A is,
WBA = - ò E(r).ds = -ò E(r)dr
which is independent of the path (see fig.e2). Therefore the work done in bringing a unit positive charge from infinity to any point r is
Wr= - ò E.ds = V(r)
which is unique for the point r. The function V(r) is called the potential function. For a point charge Q,
V(r) =
[1/(4 p e 0)] [Q/ r]