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In (Fig. 3.73), if the inner shell has c...

In (Fig. 3.73), if the inner shell has charge `+q_0` and the outer shell is earthed, then
.
i. determine the charge on the outer shell, and
ii. find the potential of the inner shell.

Text Solution

Verified by Experts

We know that charge on facing surfaces is equal and opposite,So if charge on inner sphere is `q_(0)` then charge on inner surface of shell should be `-q_(2)`,As the shell is earthed.So its potential should be zero So,

`V_("Shell")=(kq_(0))/(r_(2))+(k(-q_(0)))/(r_(2))+(kq_(2))/(r_(2))=0rArrq_(2)=0`
Here,charge on outer surface of shell is zero.Final charges appearing are shown in fig.
(b) Potenital of inner sphere:
`V_(1)=(kq_(0))/(r_(2))+(k(-q_(0)))/(r_(2))=(q_(0))/(4piepsilon_(0))[(1)/(r_(1))-(1)/(r_(2))]`
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