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In the above problem, the charges on dif...

In the above problem, the charges on different surfaces if a charge q is placed at the centre of the shell with all other conditions remaining the same.

Text Solution

Verified by Experts

The correct Answer is:
A

Total charges on `A +C` is `3q`. Therefore,
`-q+q_1-q_2+q_3=3q`………i
`V_B=0`
`:. k((q_1-q)/(2R))+k((q_2-q_1)/(2R))+k((q_3-q_2)/(3R))=0`………ii
`V_A=V_C`
`:. k((q_1-q)/R)+k((q_2-q_1)/(2R))+k((q_3-q_2)/(3R))`
`=k((q_1-q)/(3R)+k((q_2-q_1)/(3R))+k((q_3-q_2)/(3R))`.....iii
in the above equations `k=1/(4piepsilon_0)`
solving above there equations we can finnd `q_1,q_2` and `q_3`.
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