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

Verified by Experts

The correct Answer is:
`(4)/(pi)`

` ltigt = (int_(0)^(1) idt)/(1) = 2 sqrt(2) int_(0)^(1) sin (pi t +(pi)/(4))=(4)/(pi)`.
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • ALTERNATING CURRENT

    CENGAGE PHYSICS|Exercise Exercises Single Correct|63 Videos
  • ALTERNATING CURRENT

    CENGAGE PHYSICS|Exercise Exercises Multiple Correct|5 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

If the current in an A C circuit is given by i=2 sqrt(2) sin (pi t +pi / 4) , then the average value of current during time t= 0 to t=1 s is (m)/(pi) ampere. Find m .

The electric current flowing in a circuit is given by i=((2t)/(3 tau)) A for some time.The rms value of current for the period t=0 to t=tau is

Knowledge Check

  • In an A.C. Circuit, the current is given by I=6 sin(200 pi t+(pi)/6)A The initial value of the current is

    A
    1A
    B
    2A
    C
    3A
    D
    4A
  • Current in an ac circuit is given by I= 3 sin omega t + 4 cos omega t, then

    A
    rms value of current is 5A.
    B
    mean value of this current in any one half period will be `(6//pi)`.
    C
    If voltage applied is `V=V_(m) sin omega t`, then the circuit may be containing resistance and capacitance only.
    D
    If voltage applied is `V=V_(m) sin omega t`, then the circuit may be contain resostamce and inductance only.
  • 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

    A
    10 A and 100 Hz
    B
    10 A and 50 Hz
    C
    10`sqrt 2`A and 50 Hz
    D
    10`sqrt 2`A and 100 Hz
  • Similar Questions

    Explore conceptually related problems

    An AC current is given by i(t) = I_(1)sin wt + I_(2)cos wt . Find the rms value of current.

    The electric current flowing in a circuit is given by i=(2t)/(3 tau) A for some time.The rms value of current for the period t=" to t=tau is O (2)/(sqrt(3))" A

    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.

    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