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:

Question

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:, σ ε 0 b 2 - c 2 c + a, σ ε 0 a 2 - b 2 a + c, σ ε 0 a 2 - b 2 b + c, σ ε 0 b 2 - c 2 b + a

MARKS App · Accepted Answer

Net potential at B is due to the superposition of potential due to all shells, ∨ B = ∨ B I + ∨ B I I + ∨ B I I I = K 4 π a 2 σ b + K 4 π b 2 - σ b + K 4 π c 2 σ c Required potential of b = σ a 2 ε 0 b - σ b 2 ε 0 b + σ c 2 ε 0 c = σ ε 0 a 2 - b 2 b + c

Search any question & find its solution

Looking for more such questions to practice?