Home
Class 12
PHYSICS
A device X is connected across an ac sou...

A device X is connected across an ac source of voltage `V=V_0sinomegat`. The current through X is given as `I=I_0sin(omegat+pi/2)`.
Identify the device X and write the expression for its reactance.

Text Solution

Verified by Experts

Device X is a capacitor
`therefore` Capacitive reactance , `X_C=1/(omegaC)=1/(2pifC)`
Promotional Banner

Topper's Solved these Questions

  • ALTERNATING CURRENT

    CHHAYA PUBLICATION|Exercise EXAMINATION ARCHIVE WITH SOLUTIONS (NEET)|3 Videos
  • CHHAYA PUBLICATION|Exercise EXAMPLE|1 Videos
  • ATOM

    CHHAYA PUBLICATION|Exercise CBSE SCANNER|18 Videos

Similar Questions

Explore conceptually related problems

A device X is connected across an ac source of voltage V=V_0sinomegat . The current through X is given as I=I_0sin(omegat+pi/2) . Device X is a capacitor.

A device X is connected across an ac source of voltage V=V_0sinomegat . The current through X is given as I=I_0sin(omegat+pi/2) . Draw the phasor diagram for the device X.

A device X is connected across an ac source of voltage V=V_0sinomegat . The current through X is given as I=I_0sin(omegat+pi/2) . Draw graphs showing variations of voltage and current with time over one cycle of ac, for X.

In a series LCR circuit connected to an ac source of voltage v=v_msinomegat , use phasor diagram to derive an expression for the current in the circuit. Hence obtain the expression for the power dissipated in the circuit.Show that power dissipated at resonance is maximum.

A series combination of an inductor of self-inductance L, capacitor of capacitance C and resistor R is connected to an alternating voltage source of V=V_0sinomegat . The current through the circuit is I=I_0sin(omegat-theta) ,where I_0=V_0/(sqrt(R^2+(omega-1/(omegaC))^2)) and theta=tan^-1 ""1/R(omegaL-1/(omegaC)) . Now that, the frequency of both voltage and current is f=omega/(2pi) . The rms value of these parameters during one complete cycles are V_(rms)=V_0/sqrt2 and I_(rms)=I_0/sqrt2 respectively. These values are shown in alternating voltmeter and ammeter. The power consumed by the circuit P=VI. The mean value i.e., the effective power of the circuit in a complete cycle is overlineP=V_(rms)I_(rms)costheta . This costheta is termed the power factor. the power factor of the circuit is question (i) is

A series combination of an inductor of self-inductance L, capacitor of capacitance C and resistor R is connected to an alternating voltage source of V=V_0sinomegat . The current through the circuit is I=I_0sin(omegat-theta) ,where I_0=V_0/(sqrt(R^2+(omega-1/(omegaC))^2)) and theta=tan^-1 ""1/R(omegaL-1/(omegaC)) . Now that, the frequency of both voltage and current is f=omega/(2pi) . The rms value of these parameters during one complete cycles are V_(rms)=V_0/sqrt2 and I_(rms)=I_0/sqrt2 respectively. These values are shown in alternating voltmeter and ammeter. The power consumed by the circuit P=VI. The mean value i.e., the effective power of the circuit in a complete cycle is overlineP=V_(rms)I_(rms)costheta . This costheta is termed the power factor. The power factor of the circuit in question (iii) is

A series combination of an inductor of self-inductance L, capacitor of capacitance C and resistor R is connected to an alternating voltage source of V=V_0sinomegat . The current through the circuit is I=I_0sin(omegat-theta) ,where I_0=V_0/(sqrt(R^2+(omega-1/(omegaC))^2)) and theta=tan^-1 ""1/R(omegaL-1/(omegaC)) . Now that, the frequency of both voltage and current is f=omega/(2pi) . The rms value of these parameters during one complete cycles are V_(rms)=V_0/sqrt2 and I_(rms)=I_0/sqrt2 respectively. These values are shown in alternating voltmeter and ammeter. The power consumed by the circuit P=VI. The mean value i.e., the effective power of the circuit in a complete cycle is overlineP=V_(rms)I_(rms)costheta . This costheta is termed the power factor. The voltage applied in an LCR circuit having R=10Omega,L=10mH and C=1muF is V=20sinomegat volt. For what frequency of the applied voltage will the current reach its peak value?

A series combination of an inductor of self-inductance L, capacitor of capacitance C and resistor R is connected to an alternating voltage source of V=V_0sinomegat . The current through the circuit is I=I_0sin(omegat-theta) ,where I_0=V_0/(sqrt(R^2+(omega-1/(omegaC))^2)) and theta=tan^-1 ""1/R(omegaL-1/(omegaC)) . Now that, the frequency of both voltage and current is f=omega/(2pi) . The rms value of these parameters during one complete cycles are V_(rms)=V_0/sqrt2 and I_(rms)=I_0/sqrt2 respectively. These values are shown in alternating voltmeter and ammeter. The power consumed by the circuit P=VI. The mean value i.e., the effective power of the circuit in a complete cycle is overlineP=V_(rms)I_(rms)costheta . This costheta is termed the power factor. V=V_0sinomegat electromotive force is applied to an alternating circuit consisting of resistance R' and an inductor of self-inductance L. The phase difference between the voltage and current is

A series combination of an inductor of self-inductance L, capacitor of capacitance C and resistor R is connected to an alternating voltage source of V=V_0sinomegat . The current through the circuit is I=I_0sin(omegat-theta) ,where I_0=V_0/(sqrt(R^2+(omega-1/(omegaC))^2)) and theta=tan^-1 ""1/R(omegaL-1/(omegaC)) . Now that, the frequency of both voltage and current is f=omega/(2pi) . The rms value of these parameters during one complete cycles are V_(rms)=V_0/sqrt2 and I_(rms)=I_0/sqrt2 respectively. These values are shown in alternating voltmeter and ammeter. The power consumed by the circuit P=VI. The mean value i.e., the effective power of the circuit in a complete cycle is overlineP=V_(rms)I_(rms)costheta . This costheta is termed the power factor. The frequency of the applied alternating voltage in an ac circuit is 50 Hz.Resistance and self inductance are 37.6Omega and 120 mH . The phase difference between the voltage and current is

A series combination of an inductor of self-inductance L, capacitor of capacitance C and resistor R is connected to an alternating voltage source of V=V_0sinomegat . The current through the circuit is I=I_0sin(omegat-theta) ,where I_0=V_0/(sqrt(R^2+(omega-1/(omegaC))^2)) and theta=tan^-1 ""1/R(omegaL-1/(omegaC)) . Now that, the frequency of both voltage and current is f=omega/(2pi) . The rms value of these parameters during one complete cycles are V_(rms)=V_0/sqrt2 and I_(rms)=I_0/sqrt2 respectively. These values are shown in alternating voltmeter and ammeter. The power consumed by the circuit P=VI. The mean value i.e., the effective power of the circuit in a complete cycle is overlineP=V_(rms)I_(rms)costheta . This costheta is termed the power factor. The phase difference between the voltage and peak current in question (v) is

CHHAYA PUBLICATION-ALTERNATING CURRENT -CBSE SCANNER
  1. Explain briefly, with the help of labelled diagram, and obtain the exp...

    Text Solution

    |

  2. Draw a schematic diagram showing the nature of the alternating emf gen...

    Text Solution

    |

  3. When an ac source is connected to an ideal capacitor, show that the av...

    Text Solution

    |

  4. A bulb is connected in series with a variable capacitor and an ac sour...

    Text Solution

    |

  5. In a series LCR circuit connected to an ac source of voltage v=vmsinom...

    Text Solution

    |

  6. A derive 'X' is connected to an ac source V=V0sinomegat.The variation ...

    Text Solution

    |

  7. A derive 'X' is connected to an ac source V=V0sinomegat.The variation ...

    Text Solution

    |

  8. How does its impedance vary with frequency of the ac source ?Show grap...

    Text Solution

    |

  9. A derive 'X' is connected to an ac source V=V0sinomegat.The variation ...

    Text Solution

    |

  10. Find the value of the phase difference between the current and the vol...

    Text Solution

    |

  11. Without making any other change, find the value of the additional capa...

    Text Solution

    |

  12. Draw a labelled diagram of a step-up transformer. Obtain the ratio of ...

    Text Solution

    |

  13. A power transmission line feeds input power at 2200 V to a step-down t...

    Text Solution

    |

  14. A device X is connected across an ac source of voltage V=V0sinomegat. ...

    Text Solution

    |

  15. A device X is connected across an ac source of voltage V=V0sinomegat. ...

    Text Solution

    |

  16. A device X is connected across an ac source of voltage V=V0sinomegat. ...

    Text Solution

    |

  17. A device X is connected across an ac source of voltage V=V0sinomegat. ...

    Text Solution

    |

  18. The teachers of Geeta's school took the students on a study trip to a ...

    Text Solution

    |

  19. The teachers of Geeta's school took the students on a study trip to a ...

    Text Solution

    |

  20. The teachers of Geeta's school took the students on a study trip to a ...

    Text Solution

    |