The initials "FM" stand for frequency modulation. When broadcasting a radio wave, the constant frequency "B" in our problems becomes a varying quantity, f(t), such that Y= Asin[2pieF(t)]t. This causes the waves to have an inconsistent wavelength. The FCA assigns eah radio station a "band-width" around an assigned frequency in megahertz, MHz, which is simply a million waves/seond. For example, 98.7 is allowed to let it's frequencies vary slightly about/below 98.7 MHz.    A. Suppose a FM radio station is assigned an equation of y=Asin[2pie(93,200,000 + 10,000sin 500piet)]t. What is the assigned frequency in MHz? B. Give the minimum and maximum frequencies of the FM radio station over time.  C. If you've ever hanged stations while traveling, you may have been able to hear 2 FM stations at the same time. Explain how this can happen.

Physics for Scientists and Engineers, Technology Update (No access codes included)
9th Edition
ISBN:9781305116399
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter34: Electromagnetic Waves
Section: Chapter Questions
Problem 34.7P: Suppose you are located 180 in from a radio transmitter. (a) How many wavelengths are you from the...
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The initials "FM" stand for frequency modulation. When broadcasting a radio wave, the constant frequency "B" in our problems becomes a varying quantity, f(t), such that Y= Asin[2pieF(t)]t. This causes the waves to have an inconsistent wavelength. The FCA assigns eah radio station a "band-width" around an assigned frequency in megahertz, MHz, which is simply a million waves/seond. For example, 98.7 is allowed to let it's frequencies vary slightly about/below 98.7 MHz. 

 

A. Suppose a FM radio station is assigned an equation of y=Asin[2pie(93,200,000 + 10,000sin 500piet)]t. What is the assigned frequency in MHz?

B. Give the minimum and maximum frequencies of the FM radio station over time. 

C. If you've ever hanged stations while traveling, you may have been able to hear 2 FM stations at the same time. Explain how this can happen. 

 

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