Home
Class 12
PHYSICS
Figure shows a series LCR circuit connec...

Figure shows a series LCR circuit connected to a variable frequency 230 V source.

The source frequency which drives the circuit the circuit in resonance is

A

4 Hz

B

5 Hz

C

6 Hz

D

8 Hz

Text Solution

Verified by Experts

The correct Answer is:
D
Here, `L=5 H,C = 80 mu F = 80xx10^(-6)F, R = 40 Omega`
`V_("rms")=230 V`
The resonannt angular frequency is
`omega_(r )=(1)/(sqrt(LC))=(1)/(sqrt(5xx80xx10^(-6)))=50" rad " s^(-1)`
`therefore upsilon_(r )=(omega_(r ))/(2pi)=(50)/(2pi)=8 Hz`
Promotional Banner

Topper's Solved these Questions

  • ALTERNATING CURRENT

    NCERT FINGERTIPS|Exercise Power In Ac Circuit|13 Videos

  • ALTERNATING CURRENT

    NCERT FINGERTIPS|Exercise Lc Oscillations|9 Videos

  • ALTERNATING CURRENT

    NCERT FINGERTIPS|Exercise Ac Voltage Applied To A Capacitor|12 Videos

  • ATOMS

    NCERT FINGERTIPS|Exercise Assertion And Reason|15 Videos

Similar Questions

Explore conceptually related problems

Resonance in series LCR circuit

In series LCR circuit at resonance

A series LCR circuit with L = 80 mH, C = 50 mu F and R = 60 ohm is connected to a variable frequency 220 V source. Determine (i) the source frequency which drives the circuitin resonance (iii) the quality factor Q of the circuit.

Figure here, shows a series L-C-R circuit connected to a variable frequency 230 V source. L = 5.0H, C = 80 muF and 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 L-C combination is zero at the resonating frequency.

In a series LCR circuit, at resonance the

In series LCR circuit at resonance,

In series LCR circuit at resonance,

In the given figure , a series L-C-R circuit is connected to a variable frequency source of 230 V . The impedance and amplitude of the current at the resonating frequency will be

A series LCR circuit with L = 4.0 h, C = 100 mu F and R = 60 Omega is connected to a varialbe frequency 240 V source. Calcalate (i) angular frequency of the source which drives the circuit in resonace, (ii) current at the resonating frequency, (iii) rms potential drop across the inductro at resonance.

The figure shows a series LCR circuit with L=10.0 H_(2), C=40 mu F, R=60 Omega connected to a variable frequency 240 V source. Calculate (i) The angular frequency of the source which drives the circuit at resonance. (ii) The current at the resonating frequency. (iii) The rms potential drop across the capacitor at resonance.

NCERT FINGERTIPS-ALTERNATING CURRENT -Ac Voltage Applied To A Series Lcr Circuit
  1. In the question number 42, the time lag between the current maximum an...

    Text Solution

    |

  2. In series LCR circuit, the phase angle between supply voltage and curr...

    Text Solution

    |

  3. In the question number 44, the phase difference between the voltage ac...

    Text Solution

    |

  4. A sinusoidal voltage of peak value 293 V and frequency 50 Hz is applie...

    Text Solution

    |

  5. A pure resistive circuit element X when connected to an ac supply of p...

    Text Solution

    |

  6. An LCR series ac circuit is at resonance with 10 V each across L, C an...

    Text Solution

    |

  7. In a series LCR circuit the voltage across an inductor, capacitor and ...

    Text Solution

    |

  8. When an ac source of emfe=E(0) sin (100 t) is connected across a circu...

    Text Solution

    |

  9. In a circuit L, C and R are connected in series with an alternating vo...

    Text Solution

    |

  10. At resonance frequency the impedance in series LCR circuit is

    Text Solution

    |

  11. An LCR series circuit is under resonance. If I(m) is current amplitude...

    Text Solution

    |

  12. At resonant frequency the current amplitude in series LCR circuit is

    Text Solution

    |

  13. The resonant frequency of a series LCR circuit with L=2.0 H,C =32 muF ...

    Text Solution

    |

  14. Obtain the resonant frequency (omega(r)) of a series LCR circuit withL...

    Text Solution

    |

  15. Figure shows a series LCR circuit connected to a variable frequency 23...

    Text Solution

    |

  16. A series LCR circuit has R=5 Omega, L=40 mH and C=1mu F, the bandwidth...

    Text Solution

    |

  17. In LCR - circuit if resistance increases, quality factor

    Text Solution

    |

  18. In a series LCCR circuit having L=30 mH, R=8 Omega and the resonant fr...

    Text Solution

    |

  19. A series resonant LCR circuit has a quality factor (Q-factor)=0.4. If ...

    Text Solution

    |

  20. In series LCR circuit, the plot of I("max") versus omega is shown in f...

    Text Solution

    |