Consider two concentric spherical metal shells of radii `r_(1)` and `r_(2) (r_(2) gt r_(1))`. Find the charge on the inner shell and charge distribution.

Explanation

Let charge on inner shell be `q`.
The potential at `P`
`V_(P) = (1)/(4 pi in_(0)) ((q)/(r_(1)) + (Q)/(r_(2))) = 0`
`q = -(Qr_(1))/(r_(2))`
Charge on inner shell `= -Qr_(1)//r_(2)` and it will be on outer surface.
`(Qr_(1)//r_(2)` has been transferred to earth leaving negative charge on inner shell.)
Charge distribution : The facing will surfaces will have equal and opposite charges and total charge on outer shell `Q`.