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A uniformly charged conducting sphere o...

A uniformly charged conducting sphere of 2.4m diameter has a surface density of `80.0 mu C//m^(2)`. (a) Find the charge on the sphere (b) What is the total electric flux leaving the surface of the sphere ?

Text Solution

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Here, `D = 2r = 2.4m, r = 1.2m, sigma = 80.0 mu C//m^(2) = 80.0xx10^(-6) C//m^(2)`.
Charge on the sphere, `Q = sigma xx 4pi r^(2) = 80xx10^(-6)xx4xx(22)/(7)xx(1.2)^(2) = 1.45xx10^(-3)C`
Electric flux, `phi_(E) = (Q)/(in_(0)) = (1.45xx10^(-3))/(8.85xx10^(-12)) = 1.6xx10^(8) NC^(-1) m^(2)`
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