Three concentric metallic spherical shells A, B and C of radii a,b and c(a<b<c) have surface charge densities −σ,+σ, and −σ respectively. The potential of shell A is:
A
σϵ0(a+b−c)
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B
σϵ0(a−b+c)
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C
σϵ0(b−a−c)
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D
None
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Solution
The correct option is Cσϵ0(b−a−c)
Let, the charge on shells A, B and C are qA,qB and qC respectively.
So, the net potential on A:
VA=14πϵ0(qCc+qBb+qAa)
According to problem qA=−σ4πa2 qB=+σ4πb2 qC=−σ4πc2
Substituting the values in the above equation we get,