Question

The electrostatic potential due to an electric dipole at a distance \( r \) varies as:

• A. \( r \)
• B. \( \frac{1}{r^2} \)
• C. \( \frac{1}{r^3} \)
• D. \( \frac{1}{r} \)

Hint:

The electric potential due to a monopole (point charge) follows a \( \frac{1}{r} \) relationship, whereas for a dipole, the potential decreases with the square of the distance, \( \frac{1}{r^2} \).

Answer 1

The Correct Option is B

The electrostatic potential \( V_p \) at a distance \( r \) from the center of an electric dipole is proportional to the inverse square of the distance, \( V_p \propto \frac{1}{r^2} \). This faster decrease compared to a point charge (\( \frac{1}{r} \)) is due to the opposing charges in the dipole creating a field that diminishes more rapidly with increasing distance. Final Answer:\[\boxed{\frac{1}{r^2}}.\]