Two charged spherical conductors of radii R_1 and R_2 are connected by a wire. Then, the ratio of surface charge densities of the spheres ( _1/ _2) is [NEET 2021]

Question

Accepted Answer

Correct answer: B. (b) When two charged spherical conductors are connected by a conducting wire, then the potential becomes same in both the spherical conductor, i.e. V_1=V_2 ⇒ Kq_1R_1= Kq_2R_2 ⇒ q_1q_2= R_1R_2 …(i) = q_14 R^2 ∴ _1 _2= q_14 R_1^2 q_24 R_2^2 ⇒ _1 _2= q_1q_2 R_2^2R_1^2 ⇒ _1 _2= R_1R_2 R_2^2R_1^2 [From Eq. (i)] ⇒ _1 _2= R_2R_1

$Two charged spherical conductors of radii R_{1} and R_{2} are connected by a wire. Then, the ratio of surface charge densities of the spheres (σ_{1} / σ_{2}) is [NEET 2021]$

Solution

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