Question

A thin spherical shell of radius 12 cm is charged such that the potential on its surface is 60 V. Then the potential at the centre of the sphere is:

• A. 5 V
• B. Zero
• C. 30 V
• D. 120 V
• E. 60 V

Hint:

For a spherical shell with uniform charge distribution, the potential is the same at all points inside the shell.

Answer 1

Answer: (E)

Step 1: The potential at the surface of a uniformly charged spherical shell is the same as the potential at any point inside the shell (including the center). This result holds for spherical symmetry in electrostatics. 
Step 2: Thus, the potential at the center of the shell is the same as the potential on the surface of the shell. Since the surface potential is 60 V, the potential at the center is also 60 V.