(a) State Gauss' law of electrostatics in mathematical form. (b) Use Gauss'law to show that the electric field magnitude due to an infinite sheet of charge, carrying a surface density s, is given by E=s/2e0 (c) A small sphere of mass 2 mg carries a charge of 5x10^(-8) C. It hangs by a silk thread attached to a vertical uniformly charged sheet such that, under the influence of both gravity and the electric force, it makes an angle of 10° with the sheet. Calculate the surface charge density of the sheet.
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