Home
Class 12
PHYSICS
What will be the self-inductance of a co...

What will be the self-inductance of a coil, to be connected in a series with a resistance of `pi sqrt (3) Omega` such that the phase difference between the e.m.f. and the current at `50 Hz` frequency is `30^@`?

A

`0.5` Henry

B

`0.03` Henry

C

`0.05` Henry

D

`0.01` Henry

Text Solution

Verified by Experts

The correct Answer is:
C

`tan varphi=(X_(L))/R=(2pivL)/R`
`implies tan 30^(@)=(2pixx50xxL)/(pisqrt(3)) implies L=0.01 H`.
Promotional Banner

Topper's Solved these Questions

  • ALTERNATING CURRENT

    A2Z|Exercise AIIMS Questions|26 Videos
  • ATOMIC PHYSICS

    A2Z|Exercise Section D - Chapter End Test|30 Videos

Similar Questions

Explore conceptually related problems

Calculate thee resistance required to be connected in series in series with an inductance of 0.2 H in order that the phase difference between the currect and the emf may be 45^(@) when the frequency is 50 Hz.

An alternating e.m.f. 100 cos 100 t volt is connected in series to a resistance of 10 ohm and inductance 100mH. The phase difference between the current in the circuit and the e.m.f. is

An alternating e.m.f. 100 cos 100 t volt is connected in series to a resistance of 10 ohm and inductance 100mH. The phase difference between the current in the circuit and the e.m.f. is

A coil of resistance 200 ohms and self inductance 1.0 henry has been connected in series to an a.c. source of frequency 200/pi Hz . The phase difference between voltage and current is

A 0.01 H inductor and sqrt(3)pi Omega resistance are connected in series with a 220 V, 50 Hz AC source. The phase difference between the current and emf is

A coil has an inductance of 0.5 H is connected in series with a resistance of 50 Omega to 240 V, 50 Hz AC. The maximum current in the circuit is

An alternating e.m.f. of 200 V and 50 cycles is connected to a circuit of resistance 3.142 Omega) and inductance 0.01 H. The lag in time between the e.m.f. and the current is

A coil of self-inductance ((1)/(pi)) H is connected is series with a 300 Omega resistance. A voltage of 200 V at frequency 200 Hz is applied to this combination. The phase difference between the voltage and the current will be

An a.c. Voltage is applied to a resistance R=30 Omega and an inductor L in series. If the inductive reactance is also 30 Omega , the phase difference between the applied voltage and the current in the circuit is

A resistance of 10Omega , an inductance of ((2)/(pi)) henry and a capacitor of ((1)/(pi)) mu F are connected in series with mains line of 110V and 50Hz . The phase difference between the voltage and current will be

A2Z-ALTERNATING CURRENT-Section D - Chapter End Test
  1. In an LCR series a.c. Circuit the voltage across each of hte component...

    Text Solution

    |

  2. For the circuit shown in the figure, the current through the inductor ...

    Text Solution

    |

  3. In a series LCR circuit, the voltage across the resistance, capacitanc...

    Text Solution

    |

  4. An ideal choke takes a current of 10 A when connected to an ac supply ...

    Text Solution

    |

  5. A direct current of 5 amp is superimposed on an alternating current I=...

    Text Solution

    |

  6. A group of electric lamps having a total power rating of 1000 watt is ...

    Text Solution

    |

  7. In a LCR circuit having L=8.0 Henry, C=0.5 mu F and R=100 ohm in serie...

    Text Solution

    |

  8. An alternating current source of frequency 100 Hz is joined to a combi...

    Text Solution

    |

  9. A 10 ohm resistance, 5 mH coil and 10mu F capacitor are joined in seri...

    Text Solution

    |

  10. A resistor R, an inductor L and a capacitor C are connected in series ...

    Text Solution

    |

  11. If power factor is 1//2 in a series RL circuit, R=100 Omega. AC mains ...

    Text Solution

    |

  12. A bulb is connected first with DC and the then AC of same voltage then...

    Text Solution

    |

  13. An AC supply gives 30 Vrmswhich passes through a 10 Omega resistance. ...

    Text Solution

    |

  14. The average power dissipation in a pure capacitance in AC circuit is

    Text Solution

    |

  15. In a series LCR circuit, at resonance, power factor is …….. .

    Text Solution

    |

  16. A bulb and a capacitor are in series with an AC source. On increasing ...

    Text Solution

    |

  17. What will be the self-inductance of a coil, to be connected in a serie...

    Text Solution

    |

  18. The potential differences V and the current i flowing through an instr...

    Text Solution

    |

  19. Assertion: A bulb connected in series with a solenoid is connected to ...

    Text Solution

    |

  20. Assertion: In series LCR circuit resonance can take place. Reason: R...

    Text Solution

    |