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In an L-C-R circuit, L = 8H, C = 0.5muF,...

In an L-C-R circuit, L = 8H, C = 0.5`mu`F, R = 100`Omega` connected in series. The resonance frequency of the circuit will be …....

A

600 Hz

B

60 Hz

C

`250/pi` Hz

D

5000 Hz

Text Solution

Verified by Experts

The correct Answer is:
C
L=8.0 H, `C=0.5xx10^(-6)F, R=100 Omega`
Resonance frequency `f_0=1/(2pisqrt(LC))`
`=1/(2pisqrt(8xx0.5xx10^(-6)))`
`=1/(2pixx2xx10^(-3))`
`=1000/(4pi)`
`therefore f_0=250/pi` Hz
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Knowledge Check

  • In an A.C. circuit of inductance 50 mH with negligible resistance and a capacitor of capacitance 500 pF are connected in series. The resonance frequency for the given circuit is ……….

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  • Resonance frequency for L-C-R, AC series circuit is f_0 = ……

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