Home
Class 12
PHYSICS
An LCR series circuit with L =0.5H, C=10...

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 …….

A

1.8765 `Omega`

B

18.76 `Omega`

C

189.6 `Omega`

D

101.3 `Omega`

Text Solution

Verified by Experts

The correct Answer is:
C
`omega=2pif=2xx3.14xx50`=314 rad/sec
`|Z|=sqrt(R^2+(omegaL-1/(omegaC))^2)`
`=sqrt((100)^2+[314xx0.5-1/(314xx10^(-5))]^2)`
`|Z|=sqrt(10^4+[157-50000/147]^2)`
`therefore |Z|=189.6 Omega`
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

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

An L-C-R series circuit with R = 100 Omega is connected to a 200 V, 50 Hz A.C. source when only the capacitance is removed, the current lags the voltage by 60^@ . When only the inductance is removed, the current leads the voltage by 60^@ . Find the current in the circuit.

A series LCR circuit with L = 0.12 H, C = 480 nF, R = 23 Omega is connected to a 230 V variable frequency supply. (a) What is the source frequency for which current amplitude is maximum. Obtain this maximum value. (b) What is the source frequency for which average power absorbed by the circuit is maximum. Obtain the value of this maximum power. (c) For which frequencies of the source is the power transferred to the circuit half the power at resonant frequency? What is the current amplitude at these frequencies? (d) What is the Q-factor of the given 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 …….

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.

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 …....

In an L-C-R A.C. series circuit L = 5H, omega = "100 rads"^(-1) , R= 100 Omega and power factor is 0.5. Calculate the value of capacitance of the capacitor.

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

A pure capacitor of capacitive reactance of 10 Omega is connected to an A.C. source. If the frequency of a source is doubled, the capacitive reactance will be ....... Omega .

KUMAR PRAKASHAN-ALTERNATING CURRENTS -SECTION-D MCQs (DARPAN BASED ON TEXTBOOK)
  1. A coil having inductance of 1 mH is connected to an A.C. source, its i...

    Text Solution

    |

  2. The reactance of a capacitor of 1/pi in are A.C. circuit having frequ...

    Text Solution

    |

  3. An LCR series circuit with L =0.5H, C=10xx10^(-6) F, R=100 Omega is c...

    Text Solution

    |

  4. In an L-C-R circuit , R=sqrt7Omega, XL=11Omega and XC=8Omega , then th...

    Text Solution

    |

  5. Capacitive reactance of a capacitor for a D.C. circuit is.......

    Text Solution

    |

  6. The expression for the A.C. supply voltage of 234V and frequency of 50...

    Text Solution

    |

  7. The time taken by A.C. voltage of frequency 50 Hz to change from zero ...

    Text Solution

    |

  8. When current passing through a series connection of 100Omega resistanc...

    Text Solution

    |

  9. When 10 A current passes through 12Omega resistance, maximum voltage a...

    Text Solution

    |

  10. When 1 muF capacitor is connected across V = 100 sqrt2 sin(100t)Volt, ...

    Text Solution

    |

  11. Unit of omegaC is

    Text Solution

    |

  12. 20Omega resistance is connected to V = 220sin (100pit) voltage source...

    Text Solution

    |

  13. Above graphs are for reactance versu frequency of A.C. emf's frequency...

    Text Solution

    |

  14. The resistance of a coil for D.C. is in ohms. In A.C. the resistance ....

    Text Solution

    |

  15. A coil having inductance of 1 mH is connected to an A.C. source, its i...

    Text Solution

    |

  16. In a series D.C. circuit has core of a reactance of 8Omega and a resis...

    Text Solution

    |

  17. In an A.C. circuit of frequency 400/pi Hz is of capacitance CmuF and r...

    Text Solution

    |

  18. In an L-C-R circuit , R=sqrt7Omega, XL=11Omega and XC=8Omega , then th...

    Text Solution

    |

  19. A coil of self inductance of 1H and resistance 200Omega is connected t...

    Text Solution

    |

  20. The maximum value of an A.C. voltage coming in our houses is ………. % mo...

    Text Solution

    |