# Q 1.22 (a): A uniformly charged conducting sphere of 2.4 m diameter has a surface charge density of  $80.0\frac{\mu C}{m^{2}}$ . (a) Find the charge on the sphere.

Given,

Surface charge density =  $80.0\mu Cm^{-2}$

Diameter of sphere = 2.4 m  $\therefore$ Radius of sphere, r = 1.2 m

The charge on the sphere, Q= Surface charge density x Surface area of the sphere

$= (80\times10^{-6})\times(4\pi r^2) = 320\times22/7\times(1.2)^2 = \boldsymbol{1.45\times10^{-3}\ C}$

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