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JEE Main20207 Jan 2020Morning ShiftPhysicsElectrostaticsActual

Two infinite planes each with uniform surface charge density + σ are kept in such a way that the angle between them is 30 o . The electric field in the region shown between them is given by:

Options

  1. Aσ 2 ∈ 0 1 + 3 y ^ - x ^ 2
  2. Bσ ∈ 0 1 + 3 2 y ^ + x ^ 2
  3. Cσ 2 ∈ 0 1 + 3 y ^ + x ^ 2
  4. Dσ 2 ∈ 0 1 - 3 2 y ^ - x ^ 2

Correct answer

D. σ 2 ∈ 0 1 - 3 2 y ^ - x ^ 2

Step-by-step solution

E → = σ 2 ε 0 cos ⁡ 60 o - x ^ + σ 2 ε 0 - σ 2 ε 0 sin ⁡ 60 o y ^ E → = σ 2 ε 0 1 - 3 2 y ^ - 1 2 x ^

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