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When threee capacitors of equal capacit...

When threee capacitors of equal capacities are connected in parallel and one of the same capacity is connected in series withs its combination . The resultant capacity is `3.75 muF`. The capacity of each capacitor is

A

`5 mu F`

B

`6 muF`

C

`7muF`

D

`8 muF`

Text Solution

Verified by Experts

The correct Answer is:
A

`C_(eq)=(3C xx C)/(3C+C)`
`C_(eq)=(3C^(2))/(4C)`
`C_(eq)=(3C)/(4)`
`therefore C=(4C_(eq))/(3)=(4xx3.75)/(3)`
`therefore C=4xx 1.25=5.00 muF`.
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Knowledge Check

  • Two capacitors of equal capacities are connected in parallel. Let C_(1) bet their resultant capacity. If they are connected in series, then their resultant capacity will be

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