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See the figure here. We have two hollow thin spherical shells A and B of radii R, and R, respectively. Initially as shown in Fig.(i) shell B has a charge + Q which is uniformly distributed over its outer surface but shell B has no charge. At a particular instant the two spherical shells are connected by a thin copper wire as shown in Fig.(ii). After a couple of minutes two spherical shells A and B are disconnected again as shown in Fig.(iii). Now answer the following questions : Find the ratio of surface charge densities of shell A and shell B. |
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Answer» Solution :LET finally CHARGES on two shells be `q_A and q_B` respectively, then `q_A/q_B = (C_AV)/(C_BV) = C_A/C_B = R_1/R_2` As SURFACE density of CHARGE `sigma = q/(4pi R^2)` `rArr sigma_A/sigma_B = q_A/q_Bxx(R_2/R_1)^2 = R_1/R_2 xx (R_2/R_1)^2 = R_2/R_1` |
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