Home › Maharashtra HSC Class 12 (Science) › physics › Electrostatics › Field due to an infinite uniformly charged plane…
Field due to an infinite uniformly charged plane sheet of surface charge density σ is
Aσ/(2ε₀)
Bσ/ε₀
Cσε₀
Dσ²/ε₀
Answer & Solution
Correct answer: A. σ/(2ε₀)
1. Take a cylindrical Gaussian pillbox piercing the sheet with area A.
2. Flux escapes from both flat faces: 2EA = σA/ε₀.
3. Hence E = σ/(2ε₀); the field is uniform and independent of distance from the sheet.
_Source: Maharashtra Balbharati Std XII Physics, Ch 8 "Electrostatics" §8.2.4_
Related questions
If a positive point charge is placed at the centre of a spherical conducting shell of radiThe SI unit of electric field isFor a charge distribution with volume density ρ, the total charge Q equalsThe electric flux through a closed surface enclosing a charge of +5 μC is (ε₀ = 8.85 × 10⁻Two charges +q and −q of equal magnitude are placed at the corners A and B of an equilaterThe principle of quantisation of electric charge is stated asAn electric dipole in a uniform electric field E experiencesThe electric field on the axial line of a short electric dipole at distance r is