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A uniformaly charged conducting sphere o...

A uniformaly charged conducting sphere of 2.4 m diameter has a surface charge density of `80.0muC//m^(2) `
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 diameter of sphere `D=2.4 m, `hence radius R=`(D)/(2) =1.2 m `
and surface charges density `sigma =80.0 mu C //m^(2) =80 xx 10^(-6) C//m^(2) `
` therefore `Total charges on the sphere
` q = sigma . 4pi R^(2) =80 xx 10^(-6) xx 4 xx 3.14 xx (1.2)^(2) =1.45 xx 10^(-3) C `
Here diameter of sphere `D=2.4 m, `hence radius R=`(D)/(2) =1.2 m `
and surface charges density `sigma =80.0 mu C //m^(2) =80 xx 10^(-6) C//m^(2) `
Total electric flux leaving the surface of sphere
` phi_in =(q)/(in_0) =( 1.45xx10^(-3))/(8.85xx10^(-12)) =1.6 xx 10^(8) N m^(2) C^(-1)`
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