A uniformly charged conducting sphere of 2.4 m diameter has a (a) find the charge on the sphere (b) what is the total eletric fluxd leaving the surface of the sphere

Explanation

(a) Surface charge density is (by definition),
`sigma Q/A = Q/(4piR^(2))`
`therefore Q = 4piR^(2) sigma`
`=(4) (3.14) (1.2)^(2) (80 xx 10^(-6))`
`therefore Q = 1.447 xx 10^(_3)` C

Electric flux emanating from given charged sphere is passing through concentric Gaussian surface which encloses charge Q of the sphere, which is (according to Gauss.s law)
`phi = q/epsilon_(0)`
`=Q/epsilon_(0)` (Here q=Q)
`=(1.447 xx 10^(-3))/(8.85 xx 10^(-12))`
`therefore phi = 1.635 xx 10^(8) Nm^(2)//C`