Home
Class 12
PHYSICS
A charged 30 muF capacitor is connected...

A charged `30 muF` capacitor is connected to a 27 mH inductor. What is the angular frequency of free oscillations of the circuit?

Text Solution

Verified by Experts

`omega_1 = (1)/(sqrtLC) = (1)/(sqrt(27 xx 10^(-3) xx 30 xx 10^(-6) )) = 1.11 xx 10^3 sec^(-1)`
Promotional Banner

Topper's Solved these Questions

  • ALTERNATING CURRENT

    NEW JOYTHI PUBLICATION|Exercise PRACTICE PROBLEMS FOR SELF ASSESSMENT|11 Videos

  • ALTERNATING CURRENT

    NEW JOYTHI PUBLICATION|Exercise EVALUATION QUESTIONS AND ANSWERS|16 Videos

  • ALTERNATING CURRENT

    NEW JOYTHI PUBLICATION|Exercise OBJECTIVE TYPE QUESTION|7 Videos

  • ATOMS

    NEW JOYTHI PUBLICATION|Exercise COMPETITIVE EXAM CORNER|5 Videos

Similar Questions

Explore conceptually related problems

A radio can tune over the frequency range of a portion of MW broadcast band: (800 kHz to 1200 kHz). If its LC circuit has an effective inductance of 200muH , what must be the range of its variable capacitor? (Hint: For tuning, the natural frequency i.e., the frequency of free oscillations of the LC circuit should be equal to the frequency of the radio wave.]

A parallel plate capacitor (figure) made of circular plates each of radius R = 6.0 cm has a capacitance C = 100 pF . The capacitor is connected to a 230 V ac supply with a (angular) frequency of 300 rad s^(-1) . a. What is the rms value of the conduction current ? b. Is the conduction current equal to the displacement current ? c. Determine the amplitude of B at a point 3.0 cm from the axis between the plates.

A 15.0 mu F capacitor is connected to a 220V, 50Hz source. Find the capacitive reactance and the current (rms and peak) in the circuit. If the frequency is doubled, what happens to the capacitive reactance and the current?

What is the net power absorbed by each circuit over a complete cycle. Explain your answer. 1. A 44mH is connected into 220V, 50Hz ac supply. Determine the rms value of the current in the circuit. 2. A 60 μF capacitor is connected to a 110V,60Hz ac supply. Determine the rms value of the current in the circuit.

A 44mH inductor is connected to 220V, 50 Hz ac supply . Determine the rms value of the current in the circuit .

A 60muF capacitor is connected to a 110V, 60 Hz ac supply , determine the rms value of the current circuit .

In a parallel plate capacitor with air between the plates, each plate has an area of 6 xx 10^(-3) m^(2) and the distance between the plates is 3mm. Calculate the capcitance of the capacitor. If this capacitor is connected to a 100V supply, what is the charge on each plate of hte capacitor?

A 2muF capacitor is charged to a p.d. of 60V. The charging battery is disconnected and the capacitor is connected in series with a coil of inductance 10mH, so that LC oscillations occur. What is the maximum current in the coil? Assume that the circuit contains no resistance.

A circuit containing a 80 mH inductor and a 60muF capacitor in series is connected to a 230 V, 50 Hz supply. The resistance of the circuit is negligible. a. Obtain the current amplitude and rms values. b. Obtain the rms values of potential drops across each element. c. What is the average power transferred to the inductor? d. What is the average power transferred to the capacitor? e. What is the total average power absorbed by the circuit? ['Average' implies "averaged over one cycle'.]

A network of four 10muF capacitors is connected to a 500 V supply, as shown in figure. Determine (a) the equivalent capacitance of the network and (b) the charge on each capcitor.

NEW JOYTHI PUBLICATION-ALTERNATING CURRENT -SOLUTIONS TO EXERCISES FROM NCERT TEST
  1. What is the net power absorbed by each circuit over a complete cycle. ...

    Text Solution

    |

  2. Obtain the resonant frequency omega of a series LCR circuit with L = 2...

    Text Solution

    |

  3. A charged 30 muF capacitor is connected to a 27 mH inductor. What is ...

    Text Solution

    |

  4. Suppose the initial charge on the capacitor is 6 mC. What is the total...

    Text Solution

    |

  5. A series LCR circuit with R=20Omega, L = 1.5 H and C = 35 muF is conn...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  8. An LC circuit contains a 20 mH inductor and a 50 muF capacitor with a...

    Text Solution

    |

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

    Text Solution

    |

  10. If the circuit is connected to a high frequency supply (240 V, 10 kHz...

    Text Solution

    |

  11. A 100muF capacitor in series with a 40Omega resistance is connected to...

    Text Solution

    |

  12. if the circuit is connected to a 110 V, 12 kHz supply? Hence, explain ...

    Text Solution

    |

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

    Text Solution

    |

  14. A circuit containing 80 mH inductor and a 60 muF capacitor in series i...

    Text Solution

    |

  15. A series LCR circuit with L = 0.12 H, C = 480 nF, R = 23Omega is conn...

    Text Solution

    |

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

    Text Solution

    |

  17. A power transmission line feeds input power at 2300 V to a stepdown tr...

    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

    |