Electric potential due to a group of point charges:

As shown in fig. suppose N point charges q₁, q₂, q₃ …………. q_N lie at distances r₁, r₂, r₃, …………r_N from a point P.

Electric potential at point P due to charge q₁ is

Similarly, electric potential at point P due to other charges will be

…………………..

……………………

As electric potential is a scalar quantity, so the total potential at point P will be equal to the algebraic sum of all the individual potentials, i.e.

V = V₁ + V₂ + V₃ + ……………..V_N