Home
Class 12
PHYSICS
In LCR series circuit , an alternating e...

In LCR series circuit , an alternating emf e and current `i` are given by the equations `e = 100sin (100 t) ` volt .
`i=100 sin (100 t + (pi)/(3))` mA
The average power dissipated in the circuit will be

A

100 W

B

10 W

C

5 W

D

2.5 W

Text Solution

Verified by Experts

The correct Answer is:
D
Average power, `P_(av)=E_(V)I_(V) cos phi`
`=(E_(0))/(sqrt(2))*(I_(0))/(sqrt(2))cosphi=(100)/(sqrt(2))xx(100xx10^(-3))/(sqrt(2))"cos"(pi)/(3)`
`=(100xx100)/(2)xx10^(-3)xx(1)/(2)=2.5W
Promotional Banner

Topper's Solved these Questions

  • ELECTROMAGNETIC INDUCTION

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise Example 30|1 Videos

  • ELASTICITY

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MHT CET CORNER|16 Videos

  • ELECTRONS AND PROTONS

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MHT CET CORNER|19 Videos

Similar Questions

Explore conceptually related problems

In LCR series circuit , an alternating emf e and current i are given by the equations e = sin (100 t) volt . i=100 sin (100 t + (pi)/(3)) mA The average power dissipated in the circuit will be

In LCR series circuit, an alternating e.m.f. 'e' and current 'I' are given by the equations e=100sin(100t) volt and I=100sin(100t+(pi)/(3))mA The average power dissipated in the circuit will be

In an A.C. circuit, E=100 sin (500 t) volt and I=1000 sin(500 t +(pi)/3) mA . The power dissipated in the circuit is

In an a.c circuit, V & I are given by V = 100 sin (100 t) volt. I = 100 sin (100 t + (pi)/(2)) mA The power dissipated in the circuit is:

In a series L.C.R. circuit alternating emf (v) and current (i) are given by the equation v=v_(0) sin omega t , i=i_(0)sin(omega t+(pi)/(3)) The average power dissipated in the circuit over a cycle of AC is

In a series LCR circuit, an alternating emf (V) and current (I) are given by the equation V =V_0sinomegat,I=I_0sin(omegat+pi/3) The average power dissipated in the circuit over a cycle of AC is

In an A.C. circuit, V and I are given by V = 100 sin ( 100t) volt. I = 100 sin ( 100 t + pi //4) mA The power dissipated in the circuit is

In an a.c. circuit, voltage and current are given by : V = 100 sin (100 t) V and I = 100 sin (100 t (pi)/3) mA respectively. The average power dissipated in one cycle is :

The equations of voltage and current in an A.C. circuit are e=100 sin (100t) volt and I=100sin[100t+(pi)/(2)]mA respectively. The average power lost in the circuit will be

In an A.C. circuit , e and I are given by, e=100 sin (100t) volt, I=100sin(100t+(pi)/(3))mA . The power dissipated in circuit is

MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-ELECTROMAGNETIC INDUCTION-MHT CET CONER
  1. Same current is flowing in two alternating circuits. The first circuit...

    Text Solution

    |

  2. Two coils A and B have mutual inductance 2xx10^(-2) Henry if the cur...

    Text Solution

    |

  3. In LCR series circuit , an alternating emf e and current i are given b...

    Text Solution

    |

  4. AC measuring instruments measures

    Text Solution

    |

  5. The rms value of current I ( rms ) is

    Text Solution

    |

  6. If the inductance and capacitance are both doubled in L-C-R circ...

    Text Solution

    |

  7. Two coils of self-inductance L(1) and L(2) are placed closed to each o...

    Text Solution

    |

  8. What will be the self inductance of a coid of 100 turns if a current o...

    Text Solution

    |

  9. In L-C-R circuit power factor at resonance is

    Text Solution

    |

  10. In a LR circuit of 3 mH dinductance and 4 Omega resistance, emf E=4cos...

    Text Solution

    |

  11. Average power in the L-C-R circuit depends upon

    Text Solution

    |

  12. When a current of 2 A is passed through a coil of 100 turns , flux ass...

    Text Solution

    |

  13. When a rod of length l is rotated with angular velocity of omega in a ...

    Text Solution

    |

  14. Same current is flowing in two alternating circuits. The first circuit...

    Text Solution

    |

  15. In an AC circuit, the instantaneous values of e.m.f and current are e...

    Text Solution

    |

  16. An alternating voltage E=200sqrt(2)sin(100t) is connected to a 1 micro...

    Text Solution

    |

  17. What is the value of inductance L for which the current is a maximum i...

    Text Solution

    |

  18. A transformer is used to light a 100 W and 110 V lamp from a 220V main...

    Text Solution

    |

  19. In any AC circuit the emf (e) and the current (i) at any instant are g...

    Text Solution

    |

  20. If coil is opened, then L and R become

    Text Solution

    |