JEE Physics · Hard

Electrostatics: Gauss's Law Application MCQ

Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.

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Gauss's Law ApplicationHardQuestion 31435

Question

Field at distance r from centre of infinite flat plane of charge (volume density ρ, thickness t):
  1. A
    ρt/(2ε₀)
    Correct
  2. B
    ρt/ε₀
  3. C
    ρ/(ε₀t)
  4. D
    ρ/(2ε₀t)

Correct answer

ρt/(2ε₀)

Explanation

Total surface charge density σ = ρt. E = σ/(2ε₀) = ρt/(2ε₀) on each side.