A uniformly charged conducting sphere of 2.4m diameter has a surface charge density of 80nC/m^2.(a) find the charge on the chage on the sphere.(b) what is the net electric flux leaving the surface of the sphere.

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Solution

1.Given, diameter of sphere = 2.4 m
Surface charge density (σ) = 80nC/m² = 80 X 10^-9 C/m²
since, σ = ΔQ/ΔS, where Δ S is the small area element on the surface of conductor
Hence, charge Q = σ X 4π r²= 80 X 10^-9 X 4 X 3.14 X (1.2)² = 1.44 X 10^-6 C

2. Since, electric flux, Φ_E = Q/ε0
electric flux, Φ_E = $\frac{1.44 \times 10^{- 6} C}{8.85 \times 10^{- 12} C^{2} N^{- 1} m^{- 2}} = 0.16 \times 10^{6} C^{- 1} N m^{2}$

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A uniformly charged conducting sphere of 2.4m diameter has a surface charge density of 80nC/m2. (a) find the charge on the chage on the sphere.(b) what is the net electric flux leaving the surface of the sphere.

A uniformly charged conducting sphere of 2.4m diameter has a surface charge density of 80nC/m^2.(a) find the charge on the chage on the sphere.(b) what is the net electric flux leaving the surface of the sphere.