Question

The electric field intensity at a point near and outside the surface of a charged conductor of any shape is 'E₁. The electric field intensity due to uniformly charged infinite thin plane sheet is 'E₂'. The relation between 'E₁' and 'E₂' is

• A. 2E₁ = E₂
• B. E₁ = E₂
• C. E₁ = 2E₂
• D. E₁ = 4E₂

Answer 1

Answer: (C)

E₁ = 2E₂

Answer 2

For a conductor, the electric field just outside is given by

$$E_1 = \frac{\sigma}{\epsilon_0}.$$

For an infinite sheet with uniform charge density, the electric field (on one side) is

$$E_2 = \frac{\sigma}{2\epsilon_0}.$$

Thus,

$$E_1 = 2E_2.$$