00:01
So, here we are given the message signal m of t is equals to 2 cosine of 400 pi t plus 4 sine of into the bracket 500 pi plus 60 degree.
00:19
Now for carrier signal the frequency is 4 kilohertz because the signal is modulated and mu t is 0 .2 which is the modulation index.
00:31
So, to find the carrier amplitude first of all mu t should be equals to under root over mu 1 square plus the mu c square you can say.
00:45
So, 0 .2 would be equals to under root over now mu 1 can be v1 by ac that whole square plus mu c can be v2 by ac that whole square.
01:00
So, basically this let us say this as mu 2.
01:04
So, 0 .2 would be equals to v1 is how much that is 2 by ac will be as it is that whole square plus v2 is 4 by ac that whole square.
01:20
So, solving for the value of ac that is carrier amplitude you will get is to be as 22 .36 approximately.
01:32
Now, why did we find out this because we want to find the carrier power which is given by the amplitude of carrier that whole square by 2.
01:43
So, this will become equals to 500 divided by 2 would comes out 250 watts.
01:54
Now let us find the total power p t should be equals to the carrier power times of 1 plus mu t square that by 2.
02:03
So, this will be equals to a 250 into the bracket 1 plus 0 .2 whole square by 2 would comes out 255 watts...