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Question

# Three uncharged capacitors of capacities C1,C2 and C3 are connected to one another as shown in the figure. Points A, B and D are at potentials V1,V2 and V3. then the potential at O will be :

A
V1C1+V2C2+V3C3C1+C2+C3
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B
V1+V2+V3C1+C2+C3
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C
V1(V2+V3C1(C2+C3)
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D
V1V2V3C1C2C3
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Solution

## The correct option is A V1C1+V2C2+V3C3C1+C2+C3From the circuit, the total charge on inner plates of C1, C2 and C3 is zero, Q1+Q2+Q3=0. Let, Vo is the potential at O V1,V2 and V3>V∘therefore, C1(V1−V∘)+C2(V2−V∘)+C3(V3−V∘)=0C1V1+C2V2+C3V3=V0(C1+C2+C3)V0=C1V1+C2V2+C3V3C1+C2+C3

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