Question

If the electrical potential at a point on the surface of a hollow conducting sphere of radius R is V, then the electric potential at a point which is at a distance R/3 from the centre of the sphere is: 

• A. V
• B. V/3
• C. V/9
• D. 3V

Answer 1

The Correct Option is A

To solve the problem, we need to determine the electric potential at a point inside a hollow conducting sphere.

1. Key Concept:
For a hollow conducting sphere, the electric potential inside the sphere is constant and equal to the potential at the surface. That means:
$ V_{\text{inside}} = V_{\text{surface}} = V $
for any point inside the sphere, irrespective of the distance from the center.

2. Given:
- Radius of the sphere = $R$
- Potential at the surface = $V$
- Required: Potential at a point at distance $ \frac{R}{3} $ from the center (which is inside the sphere)

3. Apply the Concept:
Since the point lies inside the conducting sphere, the electric potential remains the same:
$ V_{\text{at} \, \frac{R}{3}} = V $

Final Answer:
The electric potential at the point is V.