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Questions and Answers
What is the carrier frequency of the given FM wave represented by the equation 𝑣(𝑡) = 12 cos(6 × 10^8𝑡 + 5 sin(1250𝑡))?
What is the carrier frequency of the given FM wave represented by the equation 𝑣(𝑡) = 12 cos(6 × 10^8𝑡 + 5 sin(1250𝑡))?
The carrier frequency is 100 MHz.
Calculate the modulation index for the given FM wave.
Calculate the modulation index for the given FM wave.
The modulation index is 5.
Identify the modulating frequency from the voltage equation of the FM wave.
Identify the modulating frequency from the voltage equation of the FM wave.
The modulating frequency is approximately 200 Hz.
Determine the maximum deviation of the FM wave.
Determine the maximum deviation of the FM wave.
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What power will this FM wave dissipate in a 10 Ohm resistor?
What power will this FM wave dissipate in a 10 Ohm resistor?
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Study Notes
FM Wave Parameters
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Carrier frequency: 6 × 108 Hz
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Modulation index: 5
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Modulating frequency: 1250 Hz
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Maximum deviation: calculated from modulation index(5) and modulating frequency(1250Hz), but needs more information as a calculation is needed for the value of maximum instantaneous frequency deviation.
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Power dissipation in 10Ω resistor: cannot be determined without knowing the amplitude of the carrier wave (12 in the given equation is voltage, not the amplitude of the carrier wave). A complete equation for the voltage would be needed
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Description
Test your understanding of FM wave parameters such as carrier frequency, modulation index, and maximum deviation. This quiz will challenge you to calculate power dissipation and other important aspects of frequency modulation. Review your knowledge and see how well you grasp these important concepts in telecommunications.
