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Three uncharged capacitors of capacities...

Three uncharged capacitors of capacities `C_(1),C_(2)` and `C_(3)` are connected as shown in the figure to one another and the potentials `V_(1),V_(2)` and `V_(3)` respectively. Then the potential at `O` will be
.

A

`(V_(1)C_(1)+V_(2)C_(2)+V_(3)C_(3))/(C_(1)+C_(2)+C_(3))`

B

`(V_(1)+V_(2)+V_(3))/(C_(1)+C_(2)+C_(3))`

C

`(V_(1)(V_(2)+V_(3)))/(C_(1)(C_(2)+C_(3)))`

D

`(V_(1)V_(2)V_(3))/(C_(1)C_(2)C_(3))`

Text Solution

Verified by Experts

The correct Answer is:
A
`q_(1)=q_(2)+q_(3)rArr(V_(1)-V_(0))C_(1)=(V_(0)-V_(2))C_(2)+(V_(0)-V_(3))C_(3)`
`:. V_(0)=(C_(1)V_(1)+C_(2)V_(2)+C_(3)V_(3))/(C_(1)+C_(2)+C_(3))`.
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