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Q.

Three uncharged capacitors of capacities C1, C2 and C3 are connected as shown in the figure to one another and the points A, B and C are at potentials V1, V2 and V3 respectively. Then the potential at O will be

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a

V1C1+V2C2+V3C3C1+C2+C3

b

V1+V2+V3C1+C2+C3

c

V1V2+V3C1C2+C3

d

V1V2V3C1C2C3

answer is A.

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Detailed Solution

If potential at O is V thenV1-VC1=V-V2C2+V-V3C3C1+C2+C3V=V1C1+V2C2+V3C3V=V1C1+V2C2+V3C3C1+C2+C3
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Three uncharged capacitors of capacities C1, C2 and C3 are connected as shown in the figure to one another and the points A, B and C are at potentials V1, V2 and V3 respectively. Then the potential at O will be