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A capacitor, a 15Omega resistor and 101....

A capacitor, a `15Omega` resistor and 101.5 mH inductor are placed in series with 50 Hz. AC source. Calculate the capacitance of the capacitor, if the current is observed in phase with the voltage.

A

`25muF`

B

`50muF`

C

`75muF`

D

`100muF`

Text Solution

Verified by Experts

The correct Answer is:
D
`f=(1)/(2pisqrt(LC))`
`therefore f^(2)=(1)/(4pi^(2)LC)`
`therefore C=(1)/(4pi^(2)f^(2)L)=(1)/(4xx9.87xx2500xx101.5xx10^(-3))` ltbgt `=100muF`
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