Home
Class 12
PHYSICS
A series circuit consists of a resistanc...

A series circuit consists of a resistance inductance and capacitance.The applied voltage and the current at any instant are given by `E=141.4 cos(5000 t-10^(0))`
and `I=5 cos(5000 t-370^(0))`
The inductance is `0.01` henry.Calculate the value of capacitance and resistance.

Text Solution

Verified by Experts

The correct Answer is:
`4 muF,R=141.4/5 Omega`

Here phase difference `(0)=360^(0)` & `omega=5000` at Resonance `C=1/(5000)^(2)xx1/(0.01)`
`R=V_(0)/I_(0)=141.4/5`
Promotional Banner

Topper's Solved these Questions

  • ALTERNATING CURRENT

    RESONANCE|Exercise Exercise -2 Part-1|14 Videos
  • ALTERNATING CURRENT

    RESONANCE|Exercise Exercise -2 Part-2|6 Videos
  • ALTERNATING CURRENT

    RESONANCE|Exercise Problem|14 Videos
  • ATOMIC PHYSICS

    RESONANCE|Exercise Advanved level problems|17 Videos

Similar Questions

Explore conceptually related problems

A series circuit consists of a resistance, inductance and capacitance. The applied voltage and the current at any instant are given by E=141.1cos(5000t-10^(@)) " and " I=5cos(5000t-370^(@)) The inductance is 0.01 henry. Calculate the value of capacitance.

A series circuit consists of a resistance, inductance and capacitance. The apllied voltage and the current at any instant are given as e=141.4 cos (300t-10^(@)) and i=5 cos (3000t-55^(@)) The inductance is 0.01H. Calculate the values of the resistance and capacitance.

A series circuit consists of a resistance of 15 Omega , an inductance of 0.08H and a capacitor of capacitance 30 mu F . The applied voltage has frequency of 500 rad//s . Does the current lead or lag the apllied voltage and by what angle.

A circuit of negligible resistance has an inductane of 10 mH and a capacitance of 0.1 muF . The resonant frequency of the circuit is nearly

A circuit consists of a resistance 10 ohm and a capacitance of 0.1 mu F If an alternating e.m.f. of 100 V. 50 Hz is applied, calculate the current in the circuit.

An e.m.f. of 15 volt is applied in a circuit containing 5 henry inductance and 10 ohm resistance. The ratio of the current at time t=oo and at t=1 second is

In an alternating current circuit in which an inductance and capacitance are joined in series, current is found to be maximum when the value of inductance is 0.5 henry and the value of capacitance is 8µF. The angular frequency of applied alternating voltage will be

Find the resonant frequency of a series circuit consist of an inductance 200 muH , a capacitance of 0.0005muF and a resistance of 10 Omega .

A resistance and inductance are connected in series across a voltage, V=283sin314t The current is found to be 4sin(314t-pi//3) . Find the value of the inductance and resistance.

An AC circuit consists of an inductor of inductance 0.5H and a capacitor of capacitance 8muF in series. The current in the circuit is maximum when the angular frequency of AC source is

RESONANCE-ALTERNATING CURRENT-Exercise -1 Part-1
  1. A coil draws a current of 1.0 ampere and a power of 100 watt from an A...

    Text Solution

    |

  2. An inductor 2//pi Henry, a capacitor 100//T muF and a resistor 75Omega...

    Text Solution

    |

  3. A series circuit consists of a resistance inductance and capacitance.T...

    Text Solution

    |

  4. An inductance of 2.0 H, a capacitance of 18 muF and a resistance of 10...

    Text Solution

    |

  5. An inductor-coil , a capacitor and an AC source of rms voltage 24 V ar...

    Text Solution

    |

  6. An electro magnetic wave of wavelength 300 metre can be transmitted by...

    Text Solution

    |

  7. A transformer has 50 turns in the primary and 100 in the secondary. If...

    Text Solution

    |

  8. In a transformer ratio of secondary turns (N(2)) and primary turns (N(...

    Text Solution

    |

  9. r.m.s. value of current i=3+4 sin (omega t+pi//3) is:

    Text Solution

    |

  10. The peak value of an alternating emf E given by E=(E0) cos omega t ...

    Text Solution

    |

  11. The voltage of an AC source varies with time according to the equation...

    Text Solution

    |

  12. An alternating voltage is given by: e = e(1) sin omega t + e(2) cos om...

    Text Solution

    |

  13. An AC voltage is given by E=E(0) sin(2pit)/(T). Then the mean value of...

    Text Solution

    |

  14. An AC voltage of V=220sqrt2 sin (100 pit-pi/2) is applied across a DC ...

    Text Solution

    |

  15. The average power delivered to a series AC circuit is given by (symbol...

    Text Solution

    |

  16. In an LCR circuit the energy is dissipated in

    Text Solution

    |

  17. The potential difference V across and the current I flowing through an...

    Text Solution

    |

  18. A direct current of 2 A and an alternating current having a maximum va...

    Text Solution

    |

  19. A sinusoidal ac current flows through a resistor of resistance R . If ...

    Text Solution

    |

  20. What is the r.m.s. value of an alternating current which when passed t...

    Text Solution

    |