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In figure, the charges on C(1),C(2), and...

In figure, the charges on `C_(1),C_(2)`, and `C_(3)`, are `Q_(1), Q_(2)`, and `Q_(3)`, respectively.
.

A

`Q_(2)=8 muC`

B

`Q_(3)=12 muC`

C

`Q_(1)=20 muC`

D

`Q_(2)=12 muC`

Text Solution

Verified by Experts

The correct Answer is:
A, B, C
Effective capacitance is `C=(4xx5)/5=(20)/9 muF`
Charge on `C_(1)` is `Q_(1)=CV=(20)/(9)xx20 muC`
Charge on `C_(2)` is `Q_(2)((C_(2))/(C_(2)+C_(3)))Q_(1)=2/(3)xx20=8 muC`
Charge on `C_(3)` is `Q_(3) ((C_(3))/(C_(2)+C_(3)))Q_(1)=3/3xx20=12 muC`
Since, `Q_(2)/C_(2)=Q_(3)/C_(3)`
and `Q_(1)-Q_(2)+Q_(3)=Q_(2)+C_(3)/C_(2)Q_(2)=Q_(2)((C_(2)+C_(3))/C_(2))`
Therfore,
`Q_(2)=(C_(2)/(C_(2)+C_(3)))Q_(1)`
`Q_(3)=(C_(3)/(C_(2)+C_(3)))Q_(1)`
Thus, option `(a), (b)`, and `(c)` are correct.
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