Question

Write the expression for electric potential at a point due to an electric dipole and hence obtain the expression for the same at any point on its axis and any point on its equatorial plane. 

Answer 1

Where p = 2 aq is the electric dipole moment. 

r = distance of the point from the centre of the dipole. 

θ = the angle between vector p and r. 

For any point on the dipole axis, θ = 0 or π => cos θ = ± 1, we get  

For any point on the equatorial plane, θ = π/2, => cos θ = 0, we get V = 0