Question

A hollow conducting sphere of inner radius $R$ and outer radius $2R$ is given charge $Q$ as shown in the figure, then the

• A. Potential at $A$ and $B$ is same.
• B. Potential at $O$ and $B$ are different.
• C. Potential at $O$ and $C$ are different.
• D. Potential at $A,B,C$ and $O$ is same.

Answer 1

Answer: (A), (D)

Potential at $A,B,C$ and $O$ is same.

Given,

Inner radius of hollow conducting sphere $r_1=R$

Outer radius of hollow conducting sphere $r_2=2R$

From the figure, it is clear that $V_A=V_B$ as points $A$ and $B$ lie on the same equipotential surface.

So, option (a) is correct answer.

For a hollow conducting sphere, Potential at any point inside the hollow sphere is same as the potential on its surface.

So, we can conclude from this fact that, $V_0=V_C=V_A=V_B$

Hence, options (a) and (d) are the correct alternatives.