Home
Class 12
PHYSICS
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
Promotional Banner

Topper's Solved these Questions

  • ALTERNATING CURRENTS

    KUMAR PRAKASHAN|Exercise SECTION-D MCQs (COMPETITIVE EXAMS)|64 Videos
  • ALTERNATING CURRENTS

    KUMAR PRAKASHAN|Exercise SECTION-C NCERT EXEMPLAR (Long Answer)|5 Videos
  • ATOMS

    KUMAR PRAKASHAN|Exercise Section-D -MCQs asked in GUJCET / Board Exam|34 Videos

Similar Questions

Explore conceptually related problems

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 ……….

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

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.

An LCR series circuit with L =0.5H, C=10xx10^(-6) F, R=100 Omega is connected to an A.C. source of frequency of 50 Hz. The impedance of the circuit is …….

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

L = 8.1 mH, C = 12.5 mu F and R = 100 Omega are connected in series with A.C. source of 230 V and frequency 500 Hz. Calculate voltage across two ends of resistance.

Figure shows a series LCR circuit connected to a variable frequency 230 V source. L = 5.0 H, C = 80muF, R = 40 Omega . (a) Determine the source frequency which drives the circuit in resonance. (b) Obtain the impedance of the circuit and the amplitude of current at the resonating frequency. (c) Determine the rms potential drops across the three elements of the circuit. Show that the potential drop across the LC combination is zero at the resonating frequency.

In an A.C. circuit, resistance = 12 Omega and capacitance reactance = 9 Omega are connected in series, then the value of impedance of a circuit will be ..........

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

An L-C-R series circuit with inductor of reactance is 25 Omega , reactance of capacitor is 50 Omega and resistance of 10 Omega is connected to an A.C. source. The impedance of the circuit will be …….

KUMAR PRAKASHAN-ALTERNATING CURRENTS -SECTION-D MCQs (DARPAN BASED ON TEXTBOOK)
  1. If 1.5 A constant current is passing through a resistance, then the va...

    Text Solution

    |

  2. An L-C-R series A.C. circuit is tuned to resonance. The impedance of t...

    Text Solution

    |

  3. In an L-C-R circuit, L = 8H, C = 0.5muF, R = 100Omega connected in ser...

    Text Solution

    |

  4. In a L-C oscillator circuit at any instant of time current is I and ch...

    Text Solution

    |

  5. …….. does not change with time for D.C. current and D.C. voltage.

    Text Solution

    |

  6. An instantaneous current at any instant in an A.C. series circuit is z...

    Text Solution

    |

  7. An a.c. source is rated at 220 V - 50 Hz. The time taken for voltage t...

    Text Solution

    |

  8. The instantaneous value of current in an A.C. circuit is I=2sin(100pit...

    Text Solution

    |

  9. L, C and R represent physical quantities inductance, capacitance and r...

    Text Solution

    |

  10. An emf E = 4 cos (1000t) volt is applied to an LR circuit of inductanc...

    Text Solution

    |

  11. A coil of inductance L has an inductive reactance of XL in an A.C. cir...

    Text Solution

    |

  12. If 8Omega resistance and 6Omega reactance are present in an A.C. serie...

    Text Solution

    |

  13. Two identical incandescent light bulbs are connected as shown in figur...

    Text Solution

    |

  14. A 220 V, 50 Hz a.c. source is connected an inductance of 0.2 H and a r...

    Text Solution

    |

  15. The resistance of an R-L A.C. circuit is 10 Omega. An emf E0 applied a...

    Text Solution

    |

  16. A resistor 30Omega, inductor of reactance 10Omega and capacitor of rea...

    Text Solution

    |

  17. An inductance of 1 mH, a condenser of 10 muF and a resistance of 50 Om...

    Text Solution

    |

  18. Phasor diagram for the following circuit ……..

    Text Solution

    |

  19. Phasor diagram for the following circuit is …….

    Text Solution

    |

  20. Phasor diagram for the following circuit is …….

    Text Solution

    |