Home
Class 12
PHYSICS
Current in an ac circuit is given by i=2...

Current in an ac circuit is given by `i=2 sqrt(2) sin [(pi t+((pi)//4)]`. Then find the average value of current during time t=0 to t=1 s.

Text Solution

AI Generated Solution

To find the average value of the current in the given AC circuit from time \( t = 0 \) to \( t = 1 \) second, we can follow these steps: ### Step 1: Write down the current equation The current in the AC circuit is given by: \[ i(t) = 2\sqrt{2} \sin\left(\pi t + \frac{\pi}{4}\right) \] ...
Promotional Banner

Topper's Solved these Questions

  • ALTERNATING CURRENT

    RESONANCE ENGLISH|Exercise SOLVED MISCELLANEOUS|14 Videos
  • ALTERNATING CURRENT

    RESONANCE ENGLISH|Exercise EXERCISE SECTION A|4 Videos
  • ALTERNATING CURRENT

    RESONANCE ENGLISH|Exercise A.L.P|10 Videos
  • ATOMIC PHYSICS

    RESONANCE ENGLISH|Exercise Advanved level problems|17 Videos

Similar Questions

Explore conceptually related problems

Current in an ac circuit is given by I= 3 sin omega t + 4 cos omega t, then

An alternating current in a circuit is given by l = 20 sin ( 100 pi t + 0.05pi ) A. The rms value and the frequency of current respectively are

Find the effective value of current i=2+4 cos 100 pi t .

Find the effective value of current i=2+4 cos 100 pi t .

In an ac circuit the current is given by i=0.5 sin (314 t + 60^@) milliampere. Then peak to peak value of current is-

The instantaneous current in an AC circuit is l = sqrt 2 sin(50 t + pi / 4 ) . The rms value of current is

When a voltage V_(s)=200 sqrt(2) sin (100 t) V is applied to an ac circuit the current in the circuit is found to be i=2 sin [omega t + (pi//4)]A . Find the average power consumed in the circuit.

When a voltage V_(s)=200 sqrt(2) sin (100 t) V is applied to an ac circuit the current in the circuit is found to be i=2 sin [omega t + (pi//4)]A . Find the average power consumed in the circuit.

The electric current in a circuit is given by i=3t Here, t is in second and I in ampere. The rms current for the period to=0 to t=1 s is

The current in an LCR circuit is given by I=20sin (100pi t+(pi)/(6))A . The voltage across the the inductance L of 0.1 H at t = 0 will be

RESONANCE ENGLISH-ALTERNATING CURRENT-EXAMPLE
  1. Show graphically that the average of sinusoidally varying current in h...

    Text Solution

    |

  2. The average value of current i=I(m) sin omega t from t=(pi)/(2 omega )...

    Text Solution

    |

  3. Current in an ac circuit is given by i=2 sqrt(2) sin [(pi t+((pi)//4)]...

    Text Solution

    |

  4. Find the rms value of current from t=0 to t=(2pi)/(omega) if the curre...

    Text Solution

    |

  5. Find the rms value of current i=I(m)sin omegat from (i) t=0 "to" t=(pi...

    Text Solution

    |

  6. The effective value of current i=2 sin (100 pi t) +2 cos (100pi t +30^...

    Text Solution

    |

  7. When a voltage V(s)=200 sqrt(2) sin (100 t) V is applied to an ac circ...

    Text Solution

    |

  8. An AC voltage source V=200sqrt2 sin 100t is connected across a circuit...

    Text Solution

    |

  9. In an RC series circuit(in fig), the rms voltage of source is 200V and...

    Text Solution

    |

  10. In the above question if V(s)(t)=220sqrt2 sin (2pi 50t) , find (a) i(t...

    Text Solution

    |

  11. An AC voltage source is applied across an R-C circuit. Angular frequen...

    Text Solution

    |

  12. A 9//(100 pi) H inductor and a 12 Omega resistance are connected in se...

    Text Solution

    |

  13. When an inductor coil is connected to an ideal battery of emf 10V, a c...

    Text Solution

    |

  14. A bulb is rated at 100V, 100W. It can be treated as a resistor. Find o...

    Text Solution

    |

  15. A Choke coil is needed to operate an arc lamp at 160 V (rms) and 50 H...

    Text Solution

    |

  16. in the circuit shown in the figure, find (a)the reactance of the cir...

    Text Solution

    |

  17. In a step-up transformer the turn's ratio is 10. If the frequency of t...

    Text Solution

    |

  18. A power transformer is used to step up an alternating e.m.f. of 220 V ...

    Text Solution

    |

  19. In the circuit diagram show, X(C)=100 Omega, X(L)=200Omega and R=100 O...

    Text Solution

    |

  20. If for above circuit the capacitive reactance is two times of inductiv...

    Text Solution

    |