Capacitor C1is connected to a battery and charged till the magnitude of the charge on each plate is q0.Then, the battery is disconnected and C1is connected to two other uncharged capacitors C2 and C3 as 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 C1 is q0−q1 and the capacitors C2 and C3 are in series, so q2=q3.Other way to solve the questions is to equalize the potentials across C1and series combination of C2 and C3