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Q.

Before connecting the circuit shown in figure, all capacitors were uncharged. The circuit now is in steady state. Now the switch S is closed. During the time the steady state is reached again,
Question Image
 

Column IColumn II
ICharge on C1PIncreases
IICharge on C2QDecreases
IIICharge on C3RRemains same
IVCharge on C4SBecomes zero
 IIIIIIIV
1QRPQ
2PRQQ
3QSRQ
4RPQQ

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a

1

b

2

c

3

d

4

answer is D.

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Detailed Solution

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Before closing the switch, let the charges on the capacitors be as shown.
Question Image
Applying KVL in the upper loop,
10+q1210=0

q1=40μC

Applying KVL in the lower loop,

10q22+10q22q22=0

20=3q22q2=403μC
After the switch S is closed, let the charge distribution be as shown below.

Question Image

 

 

 

 

 

 

Applying KVL for upper loop,
10+q3210=0

q3=40μC

Applying KVL for lower left loop,

10q42=0q4=20μC

Applying KVL for lower right loop,

10q52q52=0q5=10μC

Since, q1=q3=40μC ,  so, charge on C1 remains same
Since, q2=403μC , q4=20μC , charge on C2 increases, 
Since, q2=403μCq5=10μC, charge on C3 and C4 decreases.
 

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