A frequency modulator circuit has 100HZ/V frequency deviation constant. The FM signal produced is 50 sin[2r (40 x 10°)t + 2 cos 27 (1 x 10³)t]. The antenna resistance is 300 ohms. a. Determine the equation of the modulating signal b. Calculate the FM bandwidth by Bessel approximation c. Calculate the rms current of the FM signal

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A frequency modulator circuit has 100HZ/V frequency deviation constant. The FM signal
produced is 50 sin[2r (40 x 10°)t + 2 cos 2n (1 x 10³)t]. The antenna resistance is 300 ohms.
a. Determine the equation of the modulating signal
b. Calculate the FM bandwidth by Bessel approximation
c. Calculate the rms current of the FM signal
d. Calculate the FM bandwidth by Carson approximation
e. Determine the percent modulation if the amplitude of the modulating signal is 20V and
the maximum allowed deviation is 30kHz.
f. What is the necessary amplitude of the modulating signal if it is required to produce a
single pair of significant sideband?
Transcribed Image Text:A frequency modulator circuit has 100HZ/V frequency deviation constant. The FM signal produced is 50 sin[2r (40 x 10°)t + 2 cos 2n (1 x 10³)t]. The antenna resistance is 300 ohms. a. Determine the equation of the modulating signal b. Calculate the FM bandwidth by Bessel approximation c. Calculate the rms current of the FM signal d. Calculate the FM bandwidth by Carson approximation e. Determine the percent modulation if the amplitude of the modulating signal is 20V and the maximum allowed deviation is 30kHz. f. What is the necessary amplitude of the modulating signal if it is required to produce a single pair of significant sideband?
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