Question

The electric field (\( \vec{E} \)) and electric potential (\( V \)) at a point inside a charged hollow metallic sphere are respectively:

• A. \( E = 0, \quad V = 0 \)
• B. \( E = 0, \quad V = V_0 \text{ (a constant)} \)
• C. \( E \ne 0, \quad V \ne 0 \)
• D. \( E = E_0 \text{ (a constant)}, \quad V = 0 \)

Hint:

Inside a charged conducting shell, the electric field is zero, but the potential is constant and equal to the surface potential.

Answer 1

The Correct Option is B

For a charged hollow metallic sphere, all excess charge resides on the outer surface. According to Gauss's law, the electric field inside a conductor (or hollow cavity) is: \[ E = 0 \quad \text{(inside the shell)} \] However, the electric potential inside remains constant and equal to the potential on the surface: \[ V = V_0 \neq 0 \] This means that although there is no electric field inside, the potential is not zero — it is constant throughout the interior. % Final Answer Statement Answer: \( \boxed{\text{(B)} \ E = 0, \ V = V_0} \)