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Two charged spherical conductors of radii R_(1) and R_(2) when connectedby a connecting wireacquirecharges q_(1) and q_(2) respectively. Find the ratio of theircharge densitiesin terms of theirradil ? |
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Answer» SOLUTION : When two charged spherical conductors are connected by a conducting wire, they ACQUIRE the same potential. `(kq_1)/R_1=(kq_1)/d` or `q_1/R_1=q_2/R_2 RARR q_1/q_2=R_1/R_2` Hence, the RATIO of surface CHARGE densities `sigma_1/sigma_2=(q_1//4piR_2^1)/(q_2//4piR_2^2)=(q_1R_2^2)/(q_2R_2^1)` `=R_1/R_2xxR_2^2/R_1^2=R_2/R_1` |
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