A charged spherical conductor of radius ' R ' is connected momentarily to another uncharged spherical conductor of radius ' r ' by means of a thin conducting wire, then the ratio o

Question

A charged spherical conductor of radius ' R ' is connected momentarily to another uncharged spherical conductor of radius ' r ' by means of a thin conducting wire, then the ratio of the surface charge density of the first to the second conductor is

TestHub · Accepted Answer

V 1 ​ = V 2 ​ ( ∵ both the conductors have the same potential as they are connected) ⇒ R q 1 ​ ​ = r q 2 ​ ​ σ = 4 π R 2 q ​ ​ ∴ The ratio of their charge densities is: ⇒ σ 2 ​ σ 1 ​ ​ = r 2 q 2 ​ ​ R 2 q 1 ​ ​ ​ ∴ σ 2 ​ σ 1 ​ ​ = R r ​ ​

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