Home
Class 12
PHYSICS
A series LCR circuit with R = 20 Omega, ...

A series `LCR` circuit with `R = 20 Omega, L = 1.5 H` and `C = 35 mu F` is connected to a variable frequency `200 V` ac supply. When the frequency of the supply equals the natural frequency of the circuit, what is the average power in `kW` transferred to the circuit in one complete cycle?

Text Solution

AI Generated Solution

To solve the problem step by step, we will follow these steps: ### Step 1: Identify the given values We have: - Resistance, \( R = 20 \, \Omega \) - Inductance, \( L = 1.5 \, H \) - Capacitance, \( C = 35 \, \mu F = 35 \times 10^{-6} \, F \) - Voltage, \( V = 200 \, V \) ...
Promotional Banner

Topper's Solved these Questions

  • ALTERNATING CURRENT

    NCERT ENGLISH|Exercise Exercise|26 Videos
  • ATOMS

    NCERT ENGLISH|Exercise Exercise|17 Videos

Similar Questions

Explore conceptually related problems

A series LCR circuit with R=22Omega, L=1.5 H and C=40 mu F is connected to a variable frequency 220 V ac supply. When the frequency of the supply equals the natural frequency of the circuit, what is the average power transferred to the circuit in one complete cycle?

A series L-C-R circuit with R = 20 Omega , L = 1.5 H and C = 35muF is connected to a variable frequency 200 V, AC supply. When the frequency of the supply equals the natural frequency of the circuit, what is the average power transfered to the circuit, what is the average power transfered to the circuit in one complete cycle ?

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

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

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

Fig. shows series LCR circuit with L = 5.0 H, C = 80 mu F, R = 40 Omega connected to a variable frequency 240 V source. Calculate (i) the angular frequency of the source which drives the circuit at resonance. (ii) Current at the resonating frequency. (iii) the rms pot. drop across the capacitor at resonance.

An LCR series circuit with L = 100 mH, C = 100 muF, R = 120 Omega is connected to an AC source of emf epsilon = (30 V) sin (100s^(-1))t . Find the impedane, the peak current and the resonant frequency of the circuit.

An inductor L and a capacitor C are connected in the circuit as shown in the figure. The frequency of the power supply is equal to the resonant frequency of the circuit. Which ammeter will read zero ampere

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 ENGLISH-ALTERNATING CURRENT -Exercise
  1. A charged 30 mu F capacitor is connected to a 27 mH inductor. What is ...

    Text Solution

    |

  2. Suppose the initial charge on the capactor in the above question is 6 ...

    Text Solution

    |

  3. A series LCR circuit with R = 20 Omega, L = 1.5 H and C = 35 mu F is c...

    Text Solution

    |

  4. A radio can tune over the frequency range of a portion of MW broadcast...

    Text Solution

    |

  5. A series LCR circuit connected to a variable frequency 230 V source ha...

    Text Solution

    |

  6. An LC circuit contains a 20 mH inductor and a 50 mu F capacitor with a...

    Text Solution

    |

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

    Text Solution

    |

  8. Obtain the answers to (a) and (b) Q.13, if the circuit is connected to...

    Text Solution

    |

  9. A 100muF capacitor in series with a 40 Omega resistor is connected to ...

    Text Solution

    |

  10. Obtain the answers to (a) and (b) in Q .15, if the circuit is connecte...

    Text Solution

    |

  11. Keeping the source of frequency equal to the resonating frequency of t...

    Text Solution

    |

  12. A circuit containing an 80mH inductor and a 60muF capacitor in series ...

    Text Solution

    |

  13. Suppose the circuit in Exercise 7.18 has a resistance of 15 Omega Obta...

    Text Solution

    |

  14. A series LCR circuit with L= 0.12H, C=480 nF, and R=23 Omega is connec...

    Text Solution

    |

  15. Obtain the resonant frequency and Q-factor of a series LCR circuit wit...

    Text Solution

    |

  16. Answer the following questions : (a) In any a.c. circuit, is the app...

    Text Solution

    |

  17. A power transmission line feeds input power at 2300 V to a step down t...

    Text Solution

    |

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

    Text Solution

    |

  19. A small town with a demand of 800 kW of electric power at 220 V is sit...

    Text Solution

    |

  20. Do the same exercise as above with the replacement of the earlier tran...

    Text Solution

    |