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In the figure, a very large plane sheet of positive charge is shown. P 1 and P 2 are two points at distance l and 2 l from the charge distribution. If σ is the surface charge density, then the magnitude of electric fields E 1 and E 2 at P 1 and P 2 respectively are

Options

  1. AE 1 = σ ε o , E 2 = σ 2 ε o
  2. BE 1 = 2 σ ε o , E 2 = σ ε o
  3. CE 1 = E 2 = σ 2 ε o
  4. DE 1 = E 2 = σ ε o

Correct answer

C. E 1 = E 2 = σ 2 ε o

Step-by-step solution

The electric field due to a large uniformly charged non-conducting sheet is given by, E = σ 2 ε o . It is independent of the distance from the sheet. Therefore, E 1 = E 2 = σ 2 ε o

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