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Q.

Two capacitors of capacity 6 μF and 3 μF are charged to 100 V and 50 V separately and connected as shown in figure. Now all the three switches S1, S2, and S3 are closed.Which plates form an isolated system?Charge on the 6 μF capacitor in steady state will beCharge on the 3 μF capacitor in steady state will be

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a

plate 1 and plate 4 separately

b

plate 2 and plate 3 separately

c

plate 2 and plate 3 jointly

d

none of these

e

400 μC

f

700 μC

g

800 μC

h

250 μC

i

400 μC

j

700 μC

k

800 μC

l

250 μC

answer is , , .

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Detailed Solution

(150−x)3+(600−x)6−200=0x=−100μCHence, final charge on 6 μF capacitor isq1=7.00μC and charge on 3 μF is q2=250μCPlates 2 and 3 and plates 1 and 4 form isolated system. Hence q1=q2=q3=x=−100μC(150−x)3+(600−x)6−200=0x=−100μCHence, final charge on 6 μF capacitor isq1=700μC and charge on 3 μF is q2=250μCPlates 2 and 3 and plates 1 and 4 form isolated system. Hence q1=q2=q3=x=−100μC(150−x)3+(600−x)6−200=0x=−100μCHence, final charge on 6 μF capacitor isq1=7.00μC and charge on 3 μF is q2=250μCPlates 2 and 3 and plates 1 and 4 form isolated system. Hence q1=q2=q3=x=−100μC
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