Question

A hollow conducting sphere is placed in an electric field produced by a point charge at \( P \) as shown in figure. Let \( V_A \), \( V_B \), \( V_C \) be the potentials at points A, B, and C respectively. Then

• A. \( V_C>V_B>V_A \)
• B. \( V_B>V_C \)
• C. \( V_A>V_B \)
• D. \( V_A = V_C \)

Hint:

The potential at any point on the surface of a conductor in electrostatic equilibrium is constant.

Answer 1

The Correct Option is D

In a conductor, the potential is constant throughout the conductor. Since the points \( A \) and \( C \) are on the surface of the spherical conductor, they must have the same potential. Therefore, \( V_A = V_C \).

Step 2: Conclusion.
The potential at \( A \) is equal to the potential at \( C \), corresponding to option (d).