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Two charged spherical conductors of radii `R_(1) and R_(2)` when connected by a connecting wire acquire charges `q_(1) and q_(2)` respectively. Find the ratio of their charge densities in terms of their radil ?

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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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