1.

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.

Answer»

Solution :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 willhave EQUAL and opposite charges and total charge on outer shell `Q`.



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