Home
Class 12
PHYSICS
Obtain the resonant frequency omega(r) o...

Obtain the resonant frequency `omega_(r)` of a series LCR circuit with L = 2.0 H. `C = 32muF`, and `R=10Omega`. What is the Q - value of this circuit?

Text Solution

Verified by Experts

`omega_(r)=(1)/(sqrt(LC))`
`=(1)/(sqrt(2xx32xx10^(-6)))"rad "s^(-1)`
`omega_(r)=125.0" rads"^(-1)`
w.k. that 'Q' factor `Q=(1)/(omega,RC)`
`=(1)/(125xx10xx32xx10^(-6))`
= 25
Promotional Banner

Topper's Solved these Questions

  • ALTERNATING CURRENT

    SUBHASH PUBLICATION|Exercise FIVE MARKS QUESTIONS WITH ANSWERS|12 Videos

  • ANNUAL EXAM QUESTION PAPER -MARCH -2017

    SUBHASH PUBLICATION|Exercise PART -D|12 Videos

Similar Questions

Explore conceptually related problems

Obtain the resonant frequency and Q-factor of a series LCR circuit with L = 3.0 H, C = 27 muF, and R = 7.4 Omega . It is desired to improve the sharpness of the resonance of the circuit by reducing its ‘full width at half maximum’ by a factor of 2. Suggest a suitable way.

A sinusoidal voltage of peak value 283 V and frequency 50 Hz is applied to a series LCR circuit in which R = 3Omega, L = 25.48 mH, and C = 796 muF . Find (a) the impedance of the circuit, (b) the phase difference between the voltage across the source and the current, (c) the power dissipated in the circuit, and (d) the power factor.

Resonant frequency of a series LCR circuit is 600 H_Z . Quality factor of the circuit is 4. Bandwidth is

In a series circuit R=300Omega, L=0.9H, C=2.0 mu F, omega=1000 rad/s. The imedance of the circuit is

A sinusoidal voltage of peak vale 283V and frequency 50Hz is applied to a series LCR circuit in which R=3Omega,L=25.48mHandC=786muF . Find: Impedance of the circuit.

SUBHASH PUBLICATION-ALTERNATING CURRENT -NUMERICALS WITH SOLUTIONS
  1. A 44 mH inductor is connected to a 220 V, 50Hz ac supply. Determine th...

    Text Solution

    |

  2. A 60muF capacitor is connected to a 110V, 60Hz, ac supply. Determine t...

    Text Solution

    |

  3. Obtain the resonant frequency omega(r) of a series LCR circuit with L ...

    Text Solution

    |

  4. A charged 30muF capacitor is connected in series to a 27mH inductor. W...

    Text Solution

    |

  5. A series LCR circuit with R=20Omega,L=1.5H,andC=35muF is connected to ...

    Text Solution

    |

  6. A coil of inductance 0.50 H, and resistance 100Omega is connected to a...

    Text Solution

    |

  7. A coil of inductance 0.50 H, and resistance 100Omega is connected to a...

    Text Solution

    |

  8. A 100xx10^(-6) capacitor is series with a 40Omega resistance is connec...

    Text Solution

    |

  9. A 100xx10^(-6) capacitor is series with a 40Omega resistance is connec...

    Text Solution

    |

  10. A circuit containing an inductor of 80mH inductance and a capacitor of...

    Text Solution

    |

  11. A circuit containing an inductor of 80mH inductance and a capacitor of...

    Text Solution

    |

  12. A circuit containing an inductor of 80mH inductance and a capacitor of...

    Text Solution

    |

  13. A circuit containing an inductor of 80mH inductance and a capacitor of...

    Text Solution

    |

  14. A circuit containing an inductor of 80mH inductance and a capacitor of...

    Text Solution

    |

  15. A power transmission line feeds input power at 2300V to a step down tr...

    Text Solution

    |

  16. At a hydroelectric power plant, the water pressure head is at a height...

    Text Solution

    |

  17. A series LRC circuit comprising of an inductor of inductance 3H, a res...

    Text Solution

    |

  18. A sinusoidal voltage of peak vale 283V and frequency 50Hz is applied t...

    Text Solution

    |

  19. A sinusoidal voltage of peak vale 283V and frequency 50Hz is applied t...

    Text Solution

    |

  20. A sinusoidal voltage of peak vale 283V and frequency 50Hz is applied t...

    Text Solution

    |