1.

A uniformly charged conducting sphere of 2.4 m diameter has a surface charge density of `180.0 muC//M^(2)` (ii) Find the charge on the sphere. (ii) what is the total flux leaving the surface of the sphere ?

Answer» Here, `R = (2.4)/(2) = 1.2 m`
`sigma = 180.0 muC//m^(2) = 180xx10^(-6) Cm^(-2)`
(i) Charge on the sphere `q = 4pi R^(2) sigma`
`= 4xx3.14xx(1.2)^(2)xx180xx10^(-6)`
`= 3.53xx10^(-3) C`
(ii) Electric flux, `phi_(E) = (q)/(in_(0)) = (3.53xx10^(-3))/(8.85xx10^(-12))`
`= 3.9xx10^(8) Nm^(2) C^(-1)`


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