Two isolated metallic spheres of radii R and 2 R are charged such that both of these have same charge density σ . These sphere are located far away from each other and connected by a thin conducting w

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Two isolated metallic spheres of radii R and 2 R are charged such that both of these have same charge density σ . These sphere are located far away from each other and connected by a thin conducting wire, the new charge density on the bigger sphere -

TestHub · Accepted Answer

σ = Q 1 4 π R 2 = Q 1 4 π R 2 σ = Q 2 4 π 2 R 2 = Q 2 16 π R 2 Q B ′ = Q 1 + Q 2 C 1 + C 2 C 2 Q B ′ = 20 π R 2 σ × 2 C 3 C = 40 π R 2 σ 3 σ ′ = 40 π R 2 σ 3 4 π 2 R 2 = 40 π R 2 σ 3 × 16 π R 2 = 5 σ 2 × 3 = 5 σ 6

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