A 30-N/C uniform electric field points perpendicularly toward the left face of a large neutral conducting sheet. The area charge density on the left and right faces, respectively, are:

Question

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The electric field E is related to the surface charge density σ by the equation E = σ/ε₀. Given E = 30 N/C and ε₀ = 8.85 x 10⁻¹² C²/N·m², the surface charge density σ = E * ε₀ = 30 * 8.85 x 10⁻¹² = 2.655 x 10⁻¹⁰ C/m². The left face will have a negative charge density to oppose the field, and the right face will have an equal positive charge density, thus -2.7 x 10⁻⁹ C/m² and +2.7 x 10⁻⁹ C/m² respectively.

A 30-N/C Uniform Electric Field Points Perpendicularly Toward the Left