Home
Class 12
PHYSICS
The frequency of oscillation of current ...

The frequency of oscillation of current in the circuit is

A

`(1)/(3sqrt(LC))`

B

`(1)/(6 pi sqrt(LC))`

C

`(1)/(sqrt(LC))`

D

`(1)/(2 pi sqrt(LC))`

Text Solution

Verified by Experts

The correct Answer is:
B
Equivalent inductance
`L_(eq) = L + 2L = 3L, C_(eq) = C + 2C = 3C`
`:.` Frequency of oscillation
`f = (1)/(2pi sqrt(L_(eq) C_(eq))) = (1)/(6pi sqrt(LC))`
Promotional Banner

Topper's Solved these Questions

  • INDUCTANCE

    CENGAGE PHYSICS ENGLISH|Exercise Exercises (multiple Correct )|7 Videos

  • INDUCTANCE

    CENGAGE PHYSICS ENGLISH|Exercise Exercises (assertion-reasoning)|2 Videos

  • INDUCTANCE

    CENGAGE PHYSICS ENGLISH|Exercise Exercises (subjective)|7 Videos

  • HEATING EFFECT OF CURRENT

    CENGAGE PHYSICS ENGLISH|Exercise Thermal Power in Resistance Connected in Circuit|27 Videos

  • MAGNETIC FIELD AND MAGNETIC FORCES

    CENGAGE PHYSICS ENGLISH|Exercise Multiple Correct Answer type|2 Videos

Similar Questions

Explore conceptually related problems

The frequency of oscillation of current in the indcutor is

The frequency of oscillation of current in the inductor is -

The frequency of oscillation of current in the inductor is:

Current in the circuit will be

An ac generator G with an adjustable frequency of oscillation is used in the circuit, as shown. Current drawn from the ac souce will be maximum if its angular frequency is

An ac generator G with an adjustable frequency of oscillation is used in the circuit, as shown. Current drawn from the ac souce will be maximum if its angular frequency is

An ac generator G with an adjustable frequency of oscillation is used in the circuit, as shown. Current drawn from the ac souce will be maximum if its angular frequency is

An ac generator G with an adjustable frequency of oscillation is used in the circuit, as shown. To increase resonant frequency of the circuit, some of the changes in the circuit are carried out. Which changes would certainly result in the increase in resonnatn frequency ?

An ac generator G with an adjustable frequency of oscillation is used in the circuit, as shown. To increase resonant frequency of the circuit, some of the changes in the circuit are carried out. Which changes would certainly result in the increase in resonant frequency ?

An ac generator G with an adjustable frequency of oscillation is used in the circuit, as shown. To increase resonant frequency of the circuit, some of the changes in the circuit are carried out. Which changes would certainly result in the increase in resonnatn frequency ?

CENGAGE PHYSICS ENGLISH-INDUCTANCE-Exercises (single Correct )
  1. In the circuit of Fig. (1) and (2) are ammeters. Just after circuit K ...

    Text Solution

    |

  2. A wire of fixed length is wound on a solenoid of length 'l' and radius...

    Text Solution

    |

  3. The frequency of oscillation of current in the circuit is

    Text Solution

    |

  4. In Fig. switch S is closed for a long time. At t = 0, if it is opened,...

    Text Solution

    |

  5. A closed circuit of a resistor R, inductor of inductance L and a sourc...

    Text Solution

    |

  6. Given L(1) = 1 mH, R(1) = 1 Omega, L(2) = 2 mH, R(2) = 2 Omega ...

    Text Solution

    |

  7. A horizontal ring of radius r = (1)/(2) m is kept in a vertical consta...

    Text Solution

    |

  8. In the circuit shown the key (K) is closed at t=0, the current through...

    Text Solution

    |

  9. In the circuit shows in Fig. switch k(2) is open and switch k(1) is cl...

    Text Solution

    |

  10. In an L-C circuit shown in figure C=1F, L=4H At time t=0, charge i...

    Text Solution

    |

  11. An aluminium ring hangs vertically from a thread with its axis pointin...

    Text Solution

    |

  12. A coil carrying a steady current is short-circuited. The current in it...

    Text Solution

    |

  13. A solenoid has 2000 turns would over a length of 0.30 m. The area of i...

    Text Solution

    |

  14. Two coils X and Y are linked such that emf E is induced in Y when the ...

    Text Solution

    |

  15. The time constant of an inductance coil is 2.0xx10^(-3)s. When a 90Ome...

    Text Solution

    |

  16. Find the current passing through battery immediately after key (K) is ...

    Text Solution

    |

  17. A pure inductor L, a capacitor C and a resistance R are connected acro...

    Text Solution

    |

  18. A simple LR circuit is connected to a battery at time t = 0. The energ...

    Text Solution

    |

  19. The natural frequency of the circuit shows in Fig. is

    Text Solution

    |

  20. Two resistors of 10 Omega and 20 Omega and an ideal inductor of 10 H a...

    Text Solution

    |