Three concentric metal shells A, B and C of respective radii a , b and c ( a < b < c ) have surface charge densities + σ , – σ and + σ respectively. The potential of shell B is :

⎥ ⎥ ⎦ ⎤ ⎢ ⎢ ⎣ ⎡ + ε σ c a b a 2 2 0 –
⎥ ⎥ ⎦ ⎤ ⎢ ⎢ ⎣ ⎡ + ε σ c b b a 2 2 0 –
⎥ ⎥ ⎦ ⎤ ⎢ ⎢ ⎣ ⎡ + ε σ a b c b 2 2 0 –
⎥ ⎥ ⎦ ⎤ ⎢ ⎢ ⎣ ⎡ + ε σ a c c b 2 2 0 – Students may find similar question in CP exercise sheet : [ JEE Main, Chapter : Electrostatics, Exercise # 5 (B), Q. No.18 ]

Correct answer: ⎥ ⎥ ⎦ ⎤ ⎢ ⎢ ⎣ ⎡ + ε σ c b b a 2 2 0 –

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