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A spherical conducting shell of inner radius r_1 and outer radius r_2 has a charge Q. (a) A charge q is placed at the centre of the shell. What is the surface charge density on the innerand outer surfaces of the shell ? |
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Answer» SOLUTION :When charge Q is GIVEN to spherical conducting shell, whole of it SPREADS UNIFORMLY on the outersurface of shell. On placing a charge +q at the centre of the shell, a charge -q is induced on the inner surface of shell and in TURN charge +q is induced on its outer surface. `:.` Surface charge density of inner surface of the shell `sigma_("inner") = (-q)/(4pi r_1^2)` and surface charge density of outer surface of the shell `sigma_("outer") = ((Q + q))/(4pi r_2^2)` 
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