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PRACTICE / Gauss law

Field on both sides of a sheet

An infinite nonconducting sheet carries surface charge density +4 × 10⁻⁸ C/m². Use ε₀ = 8.85 × 10⁻¹² F/m.

Find the electric-field magnitude on either side.

Organize the givens & assumptions
  • σ = 4×10⁻⁸ C/m²
  • ε₀ = 8.85×10⁻¹² F/m

Uniform infinite nonconducting sheet in vacuum; equal surroundings on both sides; ε₀ = 8.85 × 10⁻¹² F/m.

  1. A0 N/C0\ \mathrm{N/C}
  2. B2.26×103 N/C2.26\times10^3\ \mathrm{N/C}
  3. C4.52×103 N/C4.52\times10^3\ \mathrm{N/C}
  4. D1.13×103 N/C1.13\times10^3\ \mathrm{N/C}

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