The electric field just outside a uniformly charged infinite plane wit…

Question

The electric field just outside a uniformly charged infinite plane with surface charge density σ is

Accepted Answer

A. {'text': 'σ / (2 ε₀)', 'label': 'A'}

1. Use Gauss's law with a pillbox spanning the sheet.
2. Field E is perpendicular to the sheet, equal on both sides by symmetry.
3. Flux = 2 E A = σ A / ε₀, so E = σ / (2 ε₀).
4. This is a uniform field, independent of distance from the sheet.
_Source: NCERT Class 12 Physics, Ch 1 "Electric Charges and Fields", §1.11_

Answer

{'text': 'σ / ε₀', 'label': 'B'}

Answer

{'text': 'σ ε₀', 'label': 'C'}

Answer

{'text': '2 σ / ε₀', 'label': 'D'}