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Six capacitors of capacities 5muF,5muF,5...

Six capacitors of capacities `5muF,5muF,5muF,5muF,10muF` and X `muF` are connected in a network as shown in the figure. What is the value of X if the network is balanced?

A

`20muF`

B

`15muF`

C

`10muF`

D

`5muF`

Text Solution

Verified by Experts

The correct Answer is:
C
The capacitors in the armm DC are in series,
`therefore`Their resultant capacitance is `(10X)/(10+X)muF`.
If the network is balanced, then
`(5)/(5)=(5)/((10X)/(10+X))" "therefore (10X)/(10+X)=(5)/(1)`
`therefore 10X=50+5X`
`therefore 5X=50" "thereforeX=10muF`
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