Surface Charge Density, σ = 0.424 nC/m²

Given,

λ = 8 nC/m

Distance = r = 3

To Find,

Surface Charge density

Solution,

(Electric Field)ᵥᵥᵢᵣₑ = 2kλ/r

Electric field for surface charge = σ/ε₀

Here,

(Electric Field)ᵥᵥᵢᵣₑ = Electric field for surface charge

2kλ/r = σ/ε₀

(2 * 9 * 10⁹ * 8 * 10⁻⁹)/(3) = σ/(8.85 * 10⁻¹²)

σ = 0.424 nC/m²

The surface charge density comes out to be 0.424 nC/m².

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