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Q.

Capacitor   is connected to a battery and charged till the magnitude of the charge on each plate is q0. Then, the battery is disconnected and Then, the battery is disconnected and C1 is connected to two other uncharged capacitors C2  and  C3as shown (figure). Final charges on the capacitors (q1,q2  and  q3)  are related by

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a

q0=q1+q2+q3

b

q1+q2+q3=0

c

q0=q3+q2,  q1=0

d

q0=q1+q2,  q2=q3

answer is D.

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Detailed Solution

Initial situation after the reconnection is shown in figure (a) and the final situation in figure (b). The charge transferred by C1is q0−q1and the capacitors  C2  and  C3 are in series, so  q2=q3. Other way to solve the questions is to equalize the potentials across  C1 and series combination of  C2 and C3
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