Consider the following statements:

A. The electric potential due to a dipole at its axial point is zero.

B. The electric potential due to a dipole at its equatorial point is zero.

C. The electric potential due to a dipole at its axial point is non-zero.

D. The electric potential due to a dipole at its equatorial point is non-zero.

CONCEPT:

• Electric potential is equal to the amount of work done per unit charge by an external force to move the charge q from infinity to a specific point in an electric field.

\(⇒ V=\frac{W}{q}\)

• Potential due to a single charged particle Q at a distance r from it is given by:

\(⇒ V=\frac{Q}{4\piϵ_{0}r}\)

Where, 

ϵ0 is the permittivity of free space and has a value of 8.85 × 10-12 F/m in SI units

EXPLANATION:

• The potential due to a dipole is given by

\(\Rightarrow V= \frac{p cosθ}{4 \pi \epsilon_0 r^2}\)

• At the axial point, θ is zero, hence cosθ = 1, V is non-zero.
• At the equatorial point, θ is \(\frac {\pi}{2}\), hence cosθ = 0, V is zero.
• Therefore option 3 is correct