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A metallic spherical shell has an inner ...

A metallic spherical shell has an inner radius R j and outer radius `R_2`. A charge Q is placed at the centre of the spherical cavity. What will be surface charge density on (i) the inner surface, and (ii) the outer surface ?

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As charge in spherical cavity + Q, the charge induced on inner surface of spherical shell will be - Q and accordingly the charge induced on outer surface will be + Q. Surface charge density on inner surface of spherical shell `sigma_(1) = -Q/(4piR_(1)^(2))` and surface charge density on outer surface of spherical shell `sigma_(2) = (+Q)/(4piR_(2)^(2))`
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