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Three spherical shells have radii R,2R a...

Three spherical shells have radii `R,2R` and `3R` respectively. Total charge on A and C is `3q`. Find the charges on different surface of A, B and C. The connecting wire does not touch the shell B.

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The correct Answer is:
A

total charge on A+C is 3q`
`:. q_1-q_2+q_3=3q` ………i
`:. (kq_1)/(2R)+k((q_2-q_1)/(2R))+k((q_3-q_2)/(3R))=0`…..ii
`V_A=V_C`
`:. (kq_1)/R+k((q_2-q_1)/(2R))+k((q_3-q_2)/(3R))`
`=(kq_1)/(3R)+k((q_2-q_1)/(3R))+k((q_3-q_2)/(3R))`......iii
in the above equation `k=1/(4piepsilon_0)`
solving these three equations, we can find the asked charges.
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