A huge (essentially infinite) horizontal nonconducting sheet 10.0 cm thick has charge uniformly spread over both faces. The upper face carries +95.0 nC/m² while the lower face carries -25.0 nC/ m². What is the magnitude of the electric field at a point within the sheet 2.00 cm below the upper face? (ε₀ = 8.85 × 10^-12 C²/N ∙ m²) A) 0.00 N/C B) 3.95 × 10³ N/C C) 6.78 × 10³ N/C D) 7.91 × 10³ N/C E) 1.36 × 10⁴ N/C

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Quizplus · Accepted Answer

The electric field inside a nonconducting sheet is the superposition of the fields due to each face. The field due to a single face is given by E = σ / (2ε₀). For the upper face, E₁ = 95.0 nC/m² / (2 * 8.85 × 10⁻¹² C²/N∙m²) and for the lower face, E₂ = -25.0 nC/m² / (2 * 8.85 × 10⁻¹² C²/N∙m²). The net field is E = E₁ + E₂, which calculates to approximately 6.78 × 10³ N/C.

A Huge (Essentially Infinite) Horizontal Nonconducting Sheet 10