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An FM wave is represented by E = 12 sin...

An FM wave is represented by `E = 12 sin ( 6 xx 10^(8) t+ 5 sin 1250 t)`
Calculate :
(i) Carier amplitude .
(ii) Carrier frequency .
(iii) Frequency deviation .
(iv) Modulating frequency .

Text Solution

Verified by Experts

Given equation is .
`E = 12 sin ( 6 xx 10^(8) t + 5 sin 1250 t)`
Equation for frequency modulated wave is `E = E_(c)` sin (`w_(c) + t m_(8) sin w_(m) t`)
(i) Carrier amplitude `= E_(c) = 12 V`
(ii) `w_(m) = 1250 rArr 2 pi v_(c) = 1250`
Modulating frequency = `V_(m) = (1250)/(2pi) = 199.04 Hz`
(iii) `w_(c) = 6 xx 10^(8) , 2pi v_(c) = 6 xx 10^(8)`
Carrier frequency `V_(c) = ( 6 xx 10^(8))/( 2pi)`
` = (6000 )/( 2 xx 314) xx 10^(5)`
Carrier trequency ` = 955 . 41 xx 10^(5) Hz`
(iv) Frequency deviation `= delta = m_(a)v_(m)`
` = 5 xx 199.04 = 955.2`
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