Home
Class 11
PHYSICS
The average value of altermating current...

The average value of altermating current `I=I_(0)sin omegat` in time interval `[0,(pi)/(omega)]` is

A

`(2I_(0))/pi`

B

`2I_(0)`

C

`(4I_(0))/pi`

D

`I_(0)/pi`

Text Solution

Verified by Experts

The correct Answer is:
A
`I_(av)=(underset(0)overset(pi//omega)intIdt)/(pi/omega-0)=omega/piunderset(0)overset(pi//omega)intI_(0) sin omegatdt=omega/pi[(I_(0)(-cos omegat))/omega]_(0)^(pi//omega)=-omega/piI_(0)/omega[cos pi-cos 0]=-I_(0)/pi[-1-1]=(2I_(0))/pi`
Promotional Banner

Topper's Solved these Questions

  • MISCELLANEOUS

    ALLEN |Exercise Part -II Example|61 Videos

  • MISCELLANEOUS

    ALLEN |Exercise Part -II Example Some worked out Examples|1 Videos

  • KINEMATICS (MOTION ALONG A STRAIGHT LINE AND MOTION IN A PLANE)

    ALLEN |Exercise BEGINNER S BOX-7|8 Videos

  • PHYSICAL WORLD, UNITS AND DIMENSIONS & ERRORS IN MEASUREMENT

    ALLEN |Exercise EXERCISE-IV|7 Videos

Similar Questions

Explore conceptually related problems

The average value of alternating current I=I_(0) sin omegat in time interval [0, pi/omega] is

Let p,qin N and q gt p , the number of solutions of the equation q|sin theta |=p|cos theta| in the interval [0,2pi] is

A magnetic field in a certain region is given by vecB=B_0 cos (omegat) hatk and a coil of radius a with resistance R is placed in the xy-plane with its centre at the origin in the magnetic field (see figure). Find the magnitude and the direction of the current at (a, 0, 0) at t=pi/(2omega), pi/omega and t=(3pi)/(2omega) .

The number of solutions of the equation 16(sin^(5)x +cos^(5)x)=11(sin x + cos x) in the interval [0,2pi] is

Determine the average value of y=2x+3 in the interval 0 le x le 1 .

Determine the average value of y=2x+3 in the interval 0 le x le 1 .

The number of value of alpha in the interval [-pi,0] satisfying sin alpha +int_(alpha )^(2alpha) cos 2 x dx =0 , then

The possible values of theta in (0,pi) such that sin (theta) + sin (4theta) + sin(7theta) = 0 are