1.

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?

Answer»

SOLUTION :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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