1.

A metalic spherical shell has an inner radius R_1 andouter 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 :Due to presence of a charge Q at thecentre of SPHERICAL CAVITY chrage -Qis induced on the inner surface of shell and a charge +Qis induced on the outer surface as shown in
(i) ` therefore ` Surface charge density on inner surface `sigma_1 =(-Q)/(A_1) =(-Q)/(4piR_1^(2)) `
(ii) `therefore ` Surface charge density on the outer surface `sigma_2=(+Q)/(A_2) =+(Q)/(4pi R_2^(2))`
` (##U_LIK_SP_PHY_XII_C01_E08_038_S01.png" width="80%">


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