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A condenser of 250 mu F is connected in ...

A condenser of `250 mu F` is connected in parallel to a coil of inductance `0.16 mH` while its effective resistance is `20 Omega`. Determine the resonant frequency

A

`9 xx 10^(4)` Hz

B

`16 xx 10^(7)` Hz

C

`8 xx 10^(5)` Hz

D

`9 xx 10^(3)` Hz

Text Solution

Verified by Experts

The correct Answer is:
C
the resonant frequency is given by, `f_(0) = 1/(2pi)sqrt(1/(LC) - R^(2)/L^(2))`
where, R= resistance and L=inductance
`rArr f_(0) = 1/(2pi)sqrt(1/(LC) - R^(2)/L^(2))`
`1/(2 xx 3.14)sqrt(1/(250 xx 10^(-6) xx 0.o16 xx 10^(-3))-(20 xx 20)/(0.16 xx 10^(-3))^(2))`
`=8 xx 10^(5)` Hz
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