Home
Class 12
PHYSICS
An alternating current is given by the f...

An alternating current is given by the following equation: `I=3sqrt(2)sin (100 pi t+pi//4)`. Give the frequency and rms value of the current.

Text Solution

AI Generated Solution

To solve the problem, we need to extract the frequency and the root mean square (rms) value of the given alternating current described by the equation: \[ I = 3\sqrt{2} \sin(100\pi t + \frac{\pi}{4}) \] ### Step 1: Identify the Peak Current (I₀) The given equation is in the form: \[ I = I_0 \sin(\omega t + \phi) \] ...
Promotional Banner

Topper's Solved these Questions

  • ALTERNATING CURRENT

    CENGAGE PHYSICS|Exercise Solved Examples|6 Videos
  • ALTERNATING CURRENT

    CENGAGE PHYSICS|Exercise Exercise 5.1|15 Videos
  • OSCILLATIONS

    CENGAGE PHYSICS|Exercise QUESTION BANK|39 Videos
  • ATOMIC PHYSICS

    CENGAGE PHYSICS|Exercise ddp.4.3|15 Videos

Similar Questions

Explore conceptually related problems

An alternative current in amperes us given by I=50 sin (400 pi t+phi) . Find the frequency and the rms value of the current

An alternating current is given by the equation i=i_(1)sin ω t+i_(2)cosω t .The rms current will be :

The equation of an alternating current is I = 50 sqrt(2) sin 400 pi t A , then the frequency and the root mean square value of current are respectively.

The equation of an alternating current is I=20sin300 pi t .Calculate the frequency and r.m.s value of current

The equation of an alternating current is I=20sin300pit .Calculate the frequency and r.m.s value of current

The equation of an alternating current is 1=20sin300 pi t . Q.Calculate the frequency and r m.s value of current

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

Two alternating currents are given by i_1 = i_0 sin omegat and i_2 = i_0 sin (omegat + (pi)/3)) . Will the rms values of the currents be equal or different?

CENGAGE PHYSICS-ALTERNATING CURRENT-QUESTION BANK
  1. An alternating current is given by the following equation: I=3sqrt(2)s...

    Text Solution

    |

  2. If the rms value of current i=3+4 sin (omega t+pi / 3) is x ampere, th...

    Text Solution

    |

  3. If the current in an A C circuit is given by i=2 sqrt(2) sin (pi t +pi...

    Text Solution

    |

  4. In the given figure, if i(1)=3 sin omega t and i(2)=4 cos omega t, the...

    Text Solution

    |

  5. A periodic voltage V varies with time t as shown in the figure. T is t...

    Text Solution

    |

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

    Text Solution

    |

  7. The voitage time (V-t) graph for triangular wave having peak value V(0...

    Text Solution

    |

  8. One cycle of an altemating curreat is shown in the graph. The rms vatu...

    Text Solution

    |

  9. In an AC circuit, a capacitor of capacitance C=(25)/(pi) mu F and a re...

    Text Solution

    |

  10. The secondary coil of an ideal step down transformer is delivering 500...

    Text Solution

    |

  11. An electrical device draws 2 KW power from (AC) mains (voltage 223 V m...

    Text Solution

    |

  12. A power transformer is used to step-up an slternating emf of 220 V tol...

    Text Solution

    |

  13. An inductor coil, a capacitor and an AC source of rms voltage 24V are ...

    Text Solution

    |

  14. In the circuit shown, switch is connected to position 1 for a very lon...

    Text Solution

    |

  15. The self inductance of a choke coil is 10mH. When it is connected to a...

    Text Solution

    |

  16. In an L C oscillator circait, L=10 (mH), C=40 mu (F). If initially at ...

    Text Solution

    |

  17. In a series CR circuit shown in the figure, the applied voltuge is 10 ...

    Text Solution

    |

  18. In the circuit shown, the rms value of the voltage across the capacito...

    Text Solution

    |

  19. In the series L C R circuit as shown in the figure, the heat developed...

    Text Solution

    |

  20. Maximum power loss (in watt) in the given circuit is '(##CENKSRPHYJE...

    Text Solution

    |

  21. As given in the figure, n series circuit coanected across a 200 V 60 H...

    Text Solution

    |