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Three concentric spherical metallic shel...

Three concentric spherical metallic shells A, B and C of radii a, b and c (a lt b ltc) have surface charge densities `sigma`, `-sigma` and `sigma` respectively.
`(i) Find the potential of the three shells A, B and C.
(ii) If the shells A and C are at the same potential, obtain the relation between the radii a, b and c.

A

`a+b+c=0`

B

`a+b=b`

C

`a+b=c`

D

`a=b+c`

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