Physics

Problem

Three concentric spherical metallic shells

A

B

and

C

of radii

a

b

and

c

(

a < b < c

) 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