Two concentric conducting spheres are of radii r1 and r2 .The outer sphere is given charge q.The charge q' on the inner sphere will be e
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According to the problem the radius of the inner sphere is r1 and of outer sphere is r2
It is given that the charge on the outer sphere is q
Let the inner sphere will be q'
Now, if q' is earthed, then the charge will be induced to -q' in inner surface of the outer sphere
and also this charge will be induced to +q' on outer surface.
Net charge on outer sphere is q.
Now as the potential charge of the inner sphere is zero as it is earthed,
Therefore,
q'/4πe0r1 + q/4πe0r2 = 0
q' = r1/r2 q
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