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# A spherical conducting shell of inner radius $R_1$ and other radius $R_2$ has a charge $Q$. A charge q is the placed at the centre of the shell.What is the surface charge density on the (1) inner surface, (2) outer surface of the shell?

Inner surface $(1)\;\large\frac{-q}{4 \pi R^2_2}$
Outer surface $(2) \;\large\frac{q+Q}{4 \pi R^2_2}$