Question

Define electric potential at a point. Derive an expression for the electric potential at a point due to a point charge , a system of point charge and a dipole

Answer 1

The electric potential (voltage) at any point in space produced by a point charge Q is given by the expression below.

It is the electric potential energy per unit charge and as such is a characteristics of the electric influence at that point in space.

Answer 2

Answer:

$\mathtt \red{ \implies W = - \int _ { \infty } ^ { r } \frac { Q } { 4 \pi e _ { 0 } r ^ { 2 } } d r ^ { \prime } = \frac { Q } { 4 \pi e _ { 0 } ^ { r } } | _ { \infty } ^ { r } = \frac { Q } { 4 \pi e _ { 0 }}}$