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Q.

Three concentric spherical metallic shells X, Y and Z of radius a, b and c respectively [a<b<c] have surface charge densities σ,−σ, and σ, respectively. The shells X and Z are at same potential. If the radii of X&Y are 2cm and 3cm, respectively. The radius of shell Z is ______cm.

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answer is 5.

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Detailed Solution

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VA=Kσ4πa2a−Kσ4πb2b+Kσ4πc2cVc=Kσ4πa2c−Kσ4πb2c+Kσ4πc2cVA=Vc⇒(a−b)=a2−b2c⇒c=a+b

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