Question

A conducting shell is kept in uniform electric field $E_0\hat{i}$ as shown in figure. P is point very close to shell. Choose the correct option(s).

• A. Field due to induced charges at P is towards arrow B
• B. Field due to induced charges at P is towards arrow A
• C. Net field at P is towards arrow B
• D. Field due to induced charges at center of the shell is zero.

Answer 1

Answer: (C)

Step 1: Given that:

The uniform electric field= $E_0\hat{i}$

P is a point close to the surface of the spherical shell.

Step 2: Finding the nature of the electric field at point P;

1. The electric field at a point close to a spherical shell is always perpendicular to the surface of the shell.
2. Thus, the net field at point P will be perpendicular to the surface of the spherical shell which will be directed along OB as the radial direction is the perpendicular direction for a sphere.

Hence,

Option C) Net field at P is towards arrow B is the correct option.