Home
Class 12
PHYSICS
The average value of alternating current...

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

Text Solution

Verified by Experts

(i) `y=2x^(3)rArr (dy)/(dx)=2[3x^(3-1)]=6x^(2)` (ii) `y=4/x=4x^(-1)rArr (dy)/(dx)=4[(-1)x^(-1-1)]=-4/x^(2)`
(iii) `y=3e^(x)rArr (dy)/(dx)=3e^(x)` (iv) `y=6 ln xrArr (dy)/(dx)=6(1/x)=6/x`
(v) `y=5 sin xrArr (dy)/(dx)=5 (cos x)=5 cos x`
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

Indicate all correct alternatives if, f(x) = x/2-1 , then on the interval [0, pi]

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

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

What is the value of current I in given circuits (a)

What is the value of current I in the following circuit?

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 .

Two coils have a mutual inductance of 0.005H. The current changes in the first coil according to equation I=I_0 sin omegat , where I_0 = 10A and omega = 100pi rad/sec. The maximum value of emf in the second coil is ___

Which of the following functions represent SHM :- (i) sin 2omegat , (ii) sin omegat + 2cos omegat , (iii) sinomegat + cos 2omegat