Question

Two point charges of charge \( +q \) each are placed a distance \( 2d \) apart. A grounded solid conducting sphere of radius \( a \) is placed midway between them. Assume \( a^2 \ll d^2 \). Which of the following statements is/are true?

• A. If \( a > \frac{d}{8} \), the net force acting on the charges is directed towards each other.
• B. The potential at the surface of the sphere is zero
• C. Total induced charge on the sphere is (\( -\frac{2aq}{d} \))
• D. The potential at the center of the sphere is non-zero

Answer 1

The Correct Option is A, B, C

The correct Answers are (A): If \( a > \frac{d}{8} \), the net force acting on the charges is directed towards each other,
(B): The potential at the surface of the sphere is zero,
(C): Total induced charge on the sphere is (\( -\frac{2aq}{d} \))