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Capacitor C1 is connected to a battery a...

Capacitor `C_1` is connected to a battery and charged till the magnitude of the charge on each plate is `q_0`. Then, the battery is disconnected and `C_1` is connected to two other uncharged capacitors `C_2 and C_3` as shown in figure. Final charges on the capacitors `(q_1,q_2 and q_3)` are related by .

A

`q_0 = q_1+q_2+q_3`

B

`q_1+q_2+q_3=0`

C

`q_0 = q_3+q_2,q_1=0`

D

`q_0 = q_1+q_2,q_2 = q_3`

Text Solution

Verified by Experts

The correct Answer is:
D

Initial situation after the reconnection is shown in figureSA 1.1 (a) and the final situation in fig. SA 1.1 (b). The charge transferred by `C_(1)` is `q_(0)-q_(1)` and the capacitors `C_(2)` and `C_(3)` are in series so `q_(2)=q_(3)`, other way to solve the quesions is to equilize the potentials across `C_(1)` and series combination of `C_(2)` and `C_(3)`.
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