Question

Consider the following statement about the electric field the intensity and the electric potential.

1. The electric field intensity due to a charged spherical shell is inversely proportional to the square of its radius.
2. The electric potential due to a point charge is inversely proportional to the distance between the charge and the point.

Options

• Only B is correct.

• Both A and B are incorrect.

• Only A is correct.

• Both A and B are correct.

Answer 1

Both A and B are correct.

Explanation:

Electric field intensity due to a charged spherical shell is given by,

E = `q/(4piε_0r^2) ⇒ E ∝ 1/r^2`

Electric potential due to a point charge is given by,

V = `1/(4piε_0)q/r`

⇒ V ∝ `1/r`