Question

# The figure shows two conducting concentric sperical shells of radii R and 2R. The inner shell has a charge +Q and the outer one is neutral. (A) Energy stored in region given by R < r < 2R P) Q232πϵoR (B) Energy stored in region given by 2R<r<∞ Q) Q216πϵoR (C) Energy stored in region given by 2R < r < 4R R) Q28πϵoR (D) Heat generated when switch S is closed S) zero T) None

A
A Q, B Q, C P, D Q,
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B
A R, B Q, C S, D S,
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C
A R, B R, C P, D Q,
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D
A Q, B R, C S, D S,
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Solution

## The correct option is A A → Q, B → Q, C → P, D → Q,Energy stored in region is du = 12ϵoE2×4πr2dr where E = Q4πϵor2 ∪=∫du=∫12ϵo(Q4πϵor2)2×4πr2dr ∪=Q28πϵo∫r2r1r−2dr=Q28πϵo[1r1−1r2] Varying r1 & r2 energies for different regions can be found.

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