Q.

Two capacitors C1 = 4 μF and C2 = 2 μF are charged to same potential V = 500 Volt, but with opposite polarity as shown in the figure. The switches S1 and S2 are closed.

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a

The ratio of final energy to initial energy of the system is 1/9.

b

The ratio of final energy to initial energy of the system is 4/9.

c

The potential difference across the two capacitors are same and is given by 5003V

d

The potential difference across the two capacitors are same and is given by 10003V

answer is A, C.

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Detailed Solution

Vf=C1V1C2V2C1+C2,Vf=5003V;Ui=12C1Vi2+12C2Vi2;Uf=12C1+C2Vf2

where Vi=500 V and Vf=5003 V

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Two capacitors C1 = 4 μF and C2 = 2 μF are charged to same potential V = 500 Volt, but with opposite polarity as shown in the figure. The switches S1 and S2 are closed.