(a) Using Gauss's law, derive an expression for the electric field intensity at any point outside a uniformly charged thin spherical shell of radius R and charge density `sigma C//m^(2)`. Draw the field lines when the charge density of the sphere is (i) positive, (ii) negative.
(b) A uniformly charged conducting sphere of 2.5 m in diameter has a surface charge density of 100 `mu C//m^(2)`. Calculate the
(i) charge on the sphere
(ii) total electric flux passing through the sphere.