JEE Main | 2018Atomic StructureHard

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 +σrespectively. The potential of shell B is :-

Options

A.

σε0a2-b2b+c

B.

σε0b2-c2b+a

C.

σε0b2-c2c+a

D.

σε0a2-b2a+c

Solution


VoutsideKQr
where r is distance of point from the centre of
shell VinsideKQR
where 'R' is radius of the shell
VB=KqArb+KqBrb+Kqcrc
VB=14π0σ4πa2b-σ4πb2b+σ4πc2c
VB=σ0a2-b2b+c

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