1.

If a charged conductor is enclosed by a hollow charged conducting shell (assumed concentric and spherical in shape), and they are connected by a conducting wire, then which of the following statement (s) would be correct ?

Answer»

Potential difference between the two conductors becomes zero.
If charge on the INNER conductor is `q` and on the outer conductor is `2 q`, then finally charge on the outer conductor will be `3q`.
The charge on the inner conductor is totally TRANSFERRED to the outer conductor.
If charge on the inner conductor is `q` and charge on the outer conductor is zero, then finally the charge on each conductor will be `q//2`.

Solution : This question is based on the workig principle of a generator.
`V_(I) - V_(II) = (q_(1)/(4 pi epsilon_0 R_1) + q_(2)/(4 pi epsilon_0 R_2)) - ((q_1 _ q_2)/(4 pi epsilon_0 R_2))`
`V_(I) - V_(II) = q_(1)/(4 pi epsilon_0) [(1)/R_(1)- (1)/R_(1)]`
As two conductors are connected, transfer of charge takes place from one conductor to other till both acquire same potential, i.e., here `V_I - V_II = 0`. Potential difference depends only on `q_1` (charge of inner conductor), so `V_I - V_II = 0`, where `q_1 = 0`, i.e., TOTAL charge is transferred to the outer conductor.


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