Home
Class 12
PHYSICS
The instantaneous values of alternating ...

The instantaneous values of alternating current and voltages in a circuit are given as
`i=(1)/(sqrt2)sin(100pi t)" ampere"`
`e=(1)/(sqrt2)sin(100 pi t+pi//3)"volt"`
The average power in Watts consumed in the circuit is -

A

`(1)/(4)`

B

`(sqrt3)/(4)`

C

`(1)/(2)`

D

`(1)/(8)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • ALTERNATING CURRENT

    AAKASH SERIES|Exercise EXERCISE - II|8 Videos
  • APPENDICES ( REVISION EXERCISE )

    AAKASH SERIES|Exercise REVISION EXERCISE (MAGNETISM AND MATTER )|52 Videos

Similar Questions

Explore conceptually related problems

In a circuit, the instantaneous values of alternating current and voltages in a circuit is given by I = (1)/(sqrt2) sin (100 pi t) A and E = (1)/(sqrt2) sin (100 pi t + (pi)/(3)) V . The average power in watts consumed in the circui is

The instantaneous values of current and voltage in an AC circuit are given by l = 6sin ( 100 pi t + pi / 4) V = 5sin ( 100 pi t - pi / 4 ), then

Voltage and current in an ac circuit are given by V=5 sin (100 pi t-pi/6) and I=4 sin (100 pi t+pi/6)

The instantaneous current and voltage of an a.c. circuit are given by i=10 sin 3000 t A and v=200 sin 300 t V. What is the power dissipation in the circuit?

The instantaneous current and volatage of an AC circuit are given by i = 10 sin (314 t) A and V = 100 sin (314 t) V What is the power dissipation in the circuit?

Voltage applied to an AC circuit and current flowing in it is given by V=200sqrt2sin(omegat+pi/4) and i=-sqrt2cos(omegat+pi/4) Then, power consumed in the circuited will be

The instantaneous current and voltage of an a.c. circuit are given by i=10 sin 300 t, V=100 sin 300 t V .What is the power dissipation in the circuit?

In an a.c circuit, V & I are given by V = 100 sin (100 t) volt. I = 100 sin (100 t + (pi)/(3)) mA The power dissipated in the circuit is:

In an AC circuit the instantaneous values of emf and current are e=200sin300t volt and i=2sin(300t+(pi)/(3)) amp The average power consumed (in watts) is

In an ac circuit the instantaneous values of current and applied voltage are respectively i=2(Amp) sin (250pis^(-1)t and epsi =(10V) sin [(250pis^(-1))t+(pi)/(3) , Find the instantaneous power drawn from the source at t=(2)/(3)ms and its average value.

AAKASH SERIES-ALTERNATING CURRENT-EXERCISE - III
  1. In a heating arrangement , an alternating current having a peak value ...

    Text Solution

    |

  2. In an AC circuit, the applied potential difference and the current flo...

    Text Solution

    |

  3. The instantaneous values of alternating current and voltages in a circ...

    Text Solution

    |

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

    Text Solution

    |

  5. An ideal choke takes a current of 8A when connected to an a.c. source ...

    Text Solution

    |

  6. When 100 V DC is applied across a solenoid , a current of 1 A flows in...

    Text Solution

    |

  7. In an L-R circuit, the inductive reactance is equal to the resistance ...

    Text Solution

    |

  8. An alternating voltage E = 200sqrt 2sin(100t) is connected to a muF ca...

    Text Solution

    |

  9. At a frequency omega(0) the reactance of a certain capacitor equal tha...

    Text Solution

    |

  10. An L-C-R series circuit consists of a resistance of 10 Omega a capacit...

    Text Solution

    |

  11. An L-C-R seriescircuit with a resistance of 100Omega connected to an A...

    Text Solution

    |

  12. An electric lamp designed for operation on 110 V AC is connected to a ...

    Text Solution

    |

  13. In a series LCR circuit the frequency of a 10 V, AC voltage source is ...

    Text Solution

    |

  14. A circuit draws 330 W from a 110 V , 60 Hz AC line. The power factor i...

    Text Solution

    |

  15. The natural frequency of an L-C circuit is 125000 cycles/s. When a die...

    Text Solution

    |

  16. The self inductance of the motor of an electric fan is 10 H. In order ...

    Text Solution

    |

  17. In an oscillating L-C circuit, the maximum charge on the capacitor is ...

    Text Solution

    |

  18. Powre dissipated in an LCR series circuit connected to an ac source of...

    Text Solution

    |

  19. Which of the following combination should be selected for better tunin...

    Text Solution

    |

  20. A small town with a demand of 800 kW of electric power at 220 V is sit...

    Text Solution

    |