make me understand what it says
Answers
Let AC current ocilates Sine function with phase angle Omega and time period T is in wire
So
I = Im Sin(omega *t)
Now we know that
p = I^2R
So
power = I^2 RSin^2(omega *t) ----(1
Now let us understand
Now let us understand we know that
cos(2x ) = 1 - 2sin^2x
Sin^2x = (cos2x - 1)/2
Sin^2x = (cos2x - 1)/2 On putting in equation -(1)
power = i^2R(1 - cos(2omega*t )/2
power = i^2R(1 - cos(2omega*t )/2 We also write
power = i^2R/2 - i^2Rcos(2omega *t)/2
power = i^2R/2 - i^2Rcos(2omega *t)/2 Now let us understand
power = i^2R/2 - i^2Rcos(2omega *t)/2 Now let us understand Since cos(2omega*t) is form half
positive(+1) and half negative (-1) so it will 0
Now
power = i^2R/2------(2)
Now on equating equation (1) and (2) we get
I^2R/2 = i^2Rsin^2(omega *t)
I^2R/2 = i^2Rsin^2(omega *t)
sin^2(omega *t) = 1/2
Explanation: