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Question

Spherical CapacitorIt consists of two concentric conducting spherical shells of radii a and b(a<b). The inner shell is given a charge Q and outer shell is given a charge Q. The potential difference between the shells is given by
ViV0=abEdr
V=abQ4πεor2dr
V=Q(ba)4πεoab
Now,C=QVC=4πεo(ab)(ba)
1033042_075af9de49cf4d76a2728ceb9b768592.png

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Solution

ViV0=abEdr

V = - abQ4πϵ0r2

V = Q(ba)4πϵ0ab

Now,

C = QV

C = 4πϵ0(ab)ba)

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