Home
Class 12
PHYSICS
If the instantaneous current in a circui...

If the instantaneous current in a circuit is given by `i=2cos (omegat-phi)`ampere, the r.m.s. value of the current is

A

`2` ampere

B

`sqrt(2)` ampere

C

`2sqrt(2)` ampere

D

zero ampere

Text Solution

Verified by Experts

The correct Answer is:
B
`I_(r.m.s.)=1/(sqrt(2))2/(sqrt(2))=sqrt(2)A`
Promotional Banner

Topper's Solved these Questions

  • ALTERNATING CURRENT

    A2Z|Exercise Section B - Assertion Reasoning|26 Videos

  • ALTERNATING CURRENT

    A2Z|Exercise AIPMT/NEET Questions|31 Videos

  • ALTERNATING CURRENT

    A2Z|Exercise Power In Ac Circuits|21 Videos

  • ATOMIC PHYSICS

    A2Z|Exercise Section D - Chapter End Test|30 Videos

Similar Questions

Explore conceptually related problems

If the instantaneous current in a circuit is given by I=2 cos (omegat+phi) amperes, the rms value of the current is

If the instantaneous current in a circuit is given by I = 20 cos (omega t + phi) A , the rms value of the current is

The instantaneous current in a circuit is, I=sin(omegat+phi) ampere. What is the r.m.s., value of the current?

The instantaneous current in an A.C. circuit is given by I= 2 sin (omega t+theta) ampere. The r.m.s. value of the current is

If instantaneous current is given by i=4 cos(omega t + varphi) amperes, then the r.m.s. value of current is

If instantaneous current in a circuit is given by I=(2+3 sin omegat) A, then the effective value of resulting current in the circuit is

A current in circuit is given by i = 3 + 4 sin omegat . Then the effective value of current is :

The r.m.s. value of an alternating current is

In a circuit an a.c. current and a d, c. current are supplied together. The expression of the instantaneous current is given as i=3+6sinomegat Then the rms value of the current is –

The instantaneous value of an AC is given by I = 5 sin ( omega t + ph ) amp. The rms value of current is

A2Z-ALTERNATING CURRENT-Problems Based On Mixed Concepts
  1. In the circuit shown, R is a pure resistor, L is an inductor of neglig...

    Text Solution

    |

  2. A typical light dimmer used to dim the stage lights in a theater consi...

    Text Solution

    |

  3. If the instantaneous current in a circuit is given by i=2cos (omegat-p...

    Text Solution

    |

  4. A coil has an inductance of 0.7 H and is joined in series with a resis...

    Text Solution

    |

  5. In a region of uniform magnetic inductance B=10^(-2)tesla. A circular ...

    Text Solution

    |

  6. In the circuit shown in fig. if both the bulbs (B1) and (B2) are ident...

    Text Solution

    |

  7. In a region of uniform magnetic inductance B=10^(-2)tesla. A circular ...

    Text Solution

    |

  8. In the circuit given below, what will be the reading of the voltmeter?

    Text Solution

    |

  9. In the circuit shown below, what will be the reading of the voltmeter ...

    Text Solution

    |

  10. The diagram shows a capacitor C and a resistor R connected in series t...

    Text Solution

    |

  11. In the circuit shown in figure neglecting source resistance the voltme...

    Text Solution

    |

  12. In the circuit shown in figureure the AC source gives a voltage V=20co...

    Text Solution

    |

  13. A telephone wire of length 200 km has a capacitance of 0.01 4 (muF)/(k...

    Text Solution

    |

  14. The reading of ammeter in the circuit shown will be

    Text Solution

    |

  15. In the adjoining AC circuit the voltmeter whose reading will be zero a...

    Text Solution

    |

  16. In the adjoining figure the impedence of the circuit will be

    Text Solution

    |

  17. In a series circuit C=2muF,L=1mH and R=10 Omega, when the current in t...

    Text Solution

    |

  18. An alternating current I in an inductance coil varies with time t acco...

    Text Solution

    |

  19. If A and B are identical bulbs, which bulb glows brighter?

    Text Solution

    |

  20. In an LCR circuit R=100 Omega. When capacitance C is removed, the curr...

    Text Solution

    |