00:01
These are the three sinusoidal sine wave currents and we are supposed to find the face angle by which means i1 t leads i2 t and second part of the question the face angle by which i1 t leads i3 t right so we know the standard equation for the sinusoidal current bearing with time i t is equal to i0, sine omega t plus phi.
00:40
So here, phi is the face angle, which we are supposed to find in all these cases, right? so equation, and we also know that cost theta is equal to sine 90 plus theta.
01:03
This formula we use here in second branch current.
01:11
So we can rewrite i2t as 0 .5.
01:20
In place of course we can write sign 90 plus theta.
01:24
So this is sign and this whole is theta.
01:29
So we can write 90 plus 377 t.
01:36
So plus 10 degree.
01:41
This is the theta.
01:43
If we solve this further, this becomes 0 .5 sine 377t plus 100 degree ampere.
02:02
This is number 4.
02:05
Now we can see if we compare this with the standard equation of the current, the face angle of i2 t is now 100 degree 52 is 100 degree and the face angle of i 1 t as we can see here face angle of i 1 t 51 is this 45 degree so it means i 1 t leads behind i2 t by an angle which is equal to 51 minus 5 .2.
02:53
It means it is 45 minus 100...