Home
Class 12
PHYSICS
In an ac circuit , V and I are given by ...

In an ac circuit , V and I are given by V=100sin(100t)V,and I=100sin `(100t+pi/3)` a respectively. The power dissipated in the circuit is

A

`10^4`W

B

10 W

C

2500 W

D

5 W

Text Solution

Verified by Experts

The correct Answer is:
C
From the given equation for V and I we get,
`V_0=100V,_0`and`theta=pi/3`
power`P=(V_0I_0)/2costheta=(100times100)/2cos""pi/3=2500W`
Promotional Banner

Topper's Solved these Questions

  • ALTERNATING CURRENT

    CHHAYA PUBLICATION|Exercise EXERCISE (Very Short Answer Type)|35 Videos

  • ALTERNATING CURRENT

    CHHAYA PUBLICATION|Exercise EXERCISE ( Short Answer Type-I)|18 Videos

  • ALTERNATING CURRENT

    CHHAYA PUBLICATION|Exercise NCERT TEXTBOOK QUESTIONS WITH ANSWER HINT (MCQ-2)|4 Videos

  • CHHAYA PUBLICATION|Exercise EXAMPLE|1 Videos

  • ATOM

    CHHAYA PUBLICATION|Exercise CBSE SCANNER|18 Videos

Similar Questions

Explore conceptually related problems

In an ac circuit voltage V = 100 sin(100t) V and current I = 100 sin(100t) mA . The power dissipated in the circuit over a full cycle is—

In an LR circuit instantaneous voltage and instantaneous current are V=100 sin 100 t, and i=10sin(100t-pi/4) respectively.

The current through a circuit is given by I=I_0sin(omegat+pi//6) when the supplied emf is V=V_0sinomegat Find the power dissipated in the circuit in one complete cycle. Draw the phasor diagram for the given current and voltage. What are the possible two elements in the circuit?

In an ac circuit, the instantaneous emf and current are given by e=100sin30t,i=20sin(30t-pi/4) . In one cycle of ac, the average power consumed by the circuit and the wattless current are, respectively

The current and voltage in an ac circuit are I=sin(100t+pi/3) A and V=20sin100tV. Calculate the power of the circuit in W.

If the emf of an ac circuit be E=E_0 sinomegatand current I=I_("cosomegat") , what is the power dissipated in the circuit?

The instantaneous value of emf and current in an A.C. circuit are; E=1.414sin(100πt− 4 π ​ ) , I=0.707sin(100πt) . The impedance of the circuit will be

An ac source is connected in series with an inductor of 5H and a resistor of 1000Omega . The rms value of voltage of the source is 100 V and the frequency of the source is 50cps. What is the rms value of the current in the circuit? What is the phase difference of the voltage and the current in the circuit? What is the power dissipated in the circuit?

A resistor, R=300Omega and a capacitor , C=25muF are connected in series with an ac source. The peak value of voltage (V_0) and the frequency (f) of the source are 150 V and and 50/pi Hz respectively. Find the peak value of current and the power dissipated in the circuit.

In an A.C. circuit, the potential difference across an inductance and a resistance joined in series are respectively 16V and 20V. The total potential difference across the circuit is

CHHAYA PUBLICATION-ALTERNATING CURRENT -EXERCISE (Multiple Choice Question)
  1. The reactance of an inductor of inductance 1/piH at frequency 50 Hz is

    Text Solution

    |

  2. Which quantity in an ac circuit is not dependent on frequency?

    Text Solution

    |

  3. The condition of getting maximum current in an LCR series circuit is

    Text Solution

    |

  4. The series resonant frequency of an LCR circuit is f. IF the capacitan...

    Text Solution

    |

  5. A coil has resistance 30 Omega and inductive reactance 20 Omega at 50 ...

    Text Solution

    |

  6. A fully charged capacitor C with initial charge q0 is connected to a ...

    Text Solution

    |

  7. A voltage V0sinomegat is applied across a series combination of resist...

    Text Solution

    |

  8. When an ideal choke is connected to an ac source of 100V and 50Hz, a c...

    Text Solution

    |

  9. In an LCR circuit voltages across R,L and C are 10V,10V and 20V respec...

    Text Solution

    |

  10. In an ac circuit alternating voltage E=200sqrt2 sin 100t volt is conne...

    Text Solution

    |

  11. The power factor of an LR circuit carrying an ac of angular frequency ...

    Text Solution

    |

  12. One of the condions to get a wattless current in an ac circuit is

    Text Solution

    |

  13. If an emf=E=E0cosomegat is applied to a circuit, the current becomes I...

    Text Solution

    |

  14. In an ac circuit , V and I are given by V=100sin(100t)V,and I=100sin (...

    Text Solution

    |

  15. The inductance and capacitance in a closed circuit are 20 mH and 2muF ...

    Text Solution

    |

  16. For an LC oscillator which one of the followings is not true?

    Text Solution

    |

  17. An ideal transformer is used to decrease an alternating voltage from 8...

    Text Solution

    |

  18. The core of any transformer is laminated so as to

    Text Solution

    |

  19. In a non -ideal transformer the primary and secondary voltages and cur...

    Text Solution

    |

  20. The turns ratio of an ideal transformer is 1:n. the input to output po...

    Text Solution

    |