Question

In the figure, a very large plane sheet of positive charge is shown. P₁ and P₂ are two points at distance l and 2l from the charge distribution. If σ is the surface charge density, then the magnitude of electric fields E₁ and E₂ at P₁ and P₂ respectively are ______.

Options

• E₁ = σ/ε₀, E₂ = σ/2ε₀

• E₁ = 2σ/ε₀, E₂ = σ/ε₀

• E₁ = E₂ = σ/2ε₀

• E₁ = E₂ = σ/ε₀

Answer 1

In the figure, a very large plane sheet of positive charge is shown. P₁ and P₂ are two points at distance l and 2l from the charge distribution. If σ is the surface charge density, then the magnitude of electric fields E₁ and E₂ at P₁ and P₂ respectively are E₁ = E₂ = σ/2ε₀.

Explanation:

Electric field due to infinite sheet is given by E = `bar0/(2epsilon_0)`, clearly `|vec"E"|` is independent of distance

So, E₁ = E₂ = `sigma/(2epsilon_0)`