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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 ?

Answer»

Solution :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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