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A spherical conducting shell with no net charge on it has a point charge q on...

A spherical conducting shell with no net charge on it has a point charge q on its center. a.) What is the surface charge density on its inner surface (r=a), and what's the surface charge density on its outer surface (r=b)? b.) If charge Q' is added to the conducting shell, what are the new charge densities on the inner and outer surfaces? Please show all work!!!

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