Answer:
The surface charge density on the conductor is found to be 26.55 x 1-6-12 C/m²
Explanation:
The electric field intensity due to a thin conducting sheet is given by the following formula:
Electric Field Intensity = (Surface Charge Density)/2(Permittivity of free space)
From this formula:
Surface Charge Density = 2(Electric Field Intensity)(Permittivity of free space)
We have the following data:
Electric Field Intensity = 1.5 N/C
Permittivity of free space = 8.85 x 10^-12 C²/N.m²
Therefore,
Surface Charge Density = 2(1.5 N/C)(8.85 x 10^-12 C²/Nm²)
Surface Charge Density = 26.55 x 10^-12 C/m²
Hence, the surface charge density on the conducting thin sheet will be 26.55 x 10^ -12 C/m².
The surface charge density on the conductor is; σ = 13.275 × 10⁻¹² C/m²
The formula for surface charge density on a conductor in an electric field just outside the surface of conductor is;
σ = E * ϵ₀
where;
E is electric field = 1.5 N/C
ϵ₀ is permittivity of space = 8.85 × 10⁻¹² C²/N.m²
Thus;
σ = 1.5 * 8.85 × 10⁻¹²
σ = 13.275 × 10⁻¹² C/m²
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