Answer :

Let ωc and ωs be the respective frequencies of the carrier and signal waves.


Signal received at the receiving station, V = V1cos(ωc + ωs)t


Instantaneous Voltage of the carrier wave, Vin = Vc cos ωct


V.Vin = V1.Vc{cos(ωc + ωs)t. cos ωct}


= ( V1.Vc)/2 {2cos(ωc + ωs)t. cosωct}


= ( V1.Vc)/2 [cos{(ωc + ωs)t + ωct} + cos {{(ωc + ωs)t - ωct }


= (V1.Vc)/2 [cos{(2ωc + ωs)t} + cos ωst ]


As the receiving centre allows only high frequency signals to pass through it. Obstructs the low frequency signal ωs Thus, at the receiving station, one can record the modulating signal (V1Vc/2).cosωst , which is the signal frequency.


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses
RELATED QUESTIONS :

If the whole eartPhysics - Exemplar

Which of the follPhysics - Exemplar

Due to economic rNCERT - Physics Part-II