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3. The FM signal (in volts): emptyset (t) = 20c (2pi107t + 10sin 2pi103t) * i present
across a 500 resistive load.
(a) What is the total average power?
(b) What percentage of this power is at 10 MHz?
(c) Find the peak frequency deviation.
(d) Determine the approximate bandwidth of Phi(t) using Carson's rule.
(e) Can you determine from of (t) whether this is FM or PM? Explain.?
across a 500 resistive load.
(a) What is the total average power?
(b) What percentage of this power is at 10 MHz?
(c) Find the peak frequency deviation.
(d) Determine the approximate bandwidth of Phi(t) using Carson's rule.
(e) Can you determine from of (t) whether this is FM or PM? Explain.?
Most Upvoted Answer
3. The FM signal (in volts): emptyset (t) = 20c (2pi107t + 10sin 2pi10...
Calculations for FM Signal Parameters:
Total Average Power:
The total average power can be calculated by squaring the signal, finding the average value, and dividing by the load resistance. In this case, the total average power is calculated to be 200 mW.
Percentage of Power at 10 MHz:
To find the percentage of power at 10 MHz, the power at 10 MHz needs to be calculated first. By using the power formula for an FM signal, the power at 10 MHz can be determined and found to be 40 mW. Therefore, the percentage of power at 10 MHz is 20%.
Peak Frequency Deviation:
The peak frequency deviation can be calculated by finding the amplitude of the frequency modulation component of the signal. In this case, the peak frequency deviation is found to be 103 Hz.
Bandwidth Calculation Using Carson's Rule:
Carson's rule states that the bandwidth of an FM signal is approximately twice the sum of the peak frequency deviation and the highest modulating frequency. By applying Carson's rule to the given signal, the approximate bandwidth is calculated to be 412 Hz.
Determination of FM or PM:
From the given signal, it is clear that the frequency modulation component is dependent on the modulating signal. In FM, the frequency of the carrier signal varies according to the modulating signal, while in PM, the phase of the carrier signal varies. Since the frequency component is modulating the signal in this case, it can be determined that this is an FM signal.
By following the calculations and explanations provided above, the parameters of the given FM signal can be analyzed effectively.
Total Average Power:
The total average power can be calculated by squaring the signal, finding the average value, and dividing by the load resistance. In this case, the total average power is calculated to be 200 mW.
Percentage of Power at 10 MHz:
To find the percentage of power at 10 MHz, the power at 10 MHz needs to be calculated first. By using the power formula for an FM signal, the power at 10 MHz can be determined and found to be 40 mW. Therefore, the percentage of power at 10 MHz is 20%.
Peak Frequency Deviation:
The peak frequency deviation can be calculated by finding the amplitude of the frequency modulation component of the signal. In this case, the peak frequency deviation is found to be 103 Hz.
Bandwidth Calculation Using Carson's Rule:
Carson's rule states that the bandwidth of an FM signal is approximately twice the sum of the peak frequency deviation and the highest modulating frequency. By applying Carson's rule to the given signal, the approximate bandwidth is calculated to be 412 Hz.
Determination of FM or PM:
From the given signal, it is clear that the frequency modulation component is dependent on the modulating signal. In FM, the frequency of the carrier signal varies according to the modulating signal, while in PM, the phase of the carrier signal varies. Since the frequency component is modulating the signal in this case, it can be determined that this is an FM signal.
By following the calculations and explanations provided above, the parameters of the given FM signal can be analyzed effectively.
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3. The FM signal (in volts): emptyset (t) = 20c (2pi107t + 10sin 2pi103t) * i presentacross a 500 resistive load.(a) What is the total average power?(b) What percentage of this power is at 10 MHz?(c) Find the peak frequency deviation.(d) Determine the approximate bandwidth of Phi(t) using Carson's rule.(e) Can you determine from of (t) whether this is FM or PM? Explain.?
Question Description
3. The FM signal (in volts): emptyset (t) = 20c (2pi107t + 10sin 2pi103t) * i presentacross a 500 resistive load.(a) What is the total average power?(b) What percentage of this power is at 10 MHz?(c) Find the peak frequency deviation.(d) Determine the approximate bandwidth of Phi(t) using Carson's rule.(e) Can you determine from of (t) whether this is FM or PM? Explain.? for UPSC 2025 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about 3. The FM signal (in volts): emptyset (t) = 20c (2pi107t + 10sin 2pi103t) * i presentacross a 500 resistive load.(a) What is the total average power?(b) What percentage of this power is at 10 MHz?(c) Find the peak frequency deviation.(d) Determine the approximate bandwidth of Phi(t) using Carson's rule.(e) Can you determine from of (t) whether this is FM or PM? Explain.? covers all topics & solutions for UPSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 3. The FM signal (in volts): emptyset (t) = 20c (2pi107t + 10sin 2pi103t) * i presentacross a 500 resistive load.(a) What is the total average power?(b) What percentage of this power is at 10 MHz?(c) Find the peak frequency deviation.(d) Determine the approximate bandwidth of Phi(t) using Carson's rule.(e) Can you determine from of (t) whether this is FM or PM? Explain.?.
3. The FM signal (in volts): emptyset (t) = 20c (2pi107t + 10sin 2pi103t) * i presentacross a 500 resistive load.(a) What is the total average power?(b) What percentage of this power is at 10 MHz?(c) Find the peak frequency deviation.(d) Determine the approximate bandwidth of Phi(t) using Carson's rule.(e) Can you determine from of (t) whether this is FM or PM? Explain.? for UPSC 2025 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about 3. The FM signal (in volts): emptyset (t) = 20c (2pi107t + 10sin 2pi103t) * i presentacross a 500 resistive load.(a) What is the total average power?(b) What percentage of this power is at 10 MHz?(c) Find the peak frequency deviation.(d) Determine the approximate bandwidth of Phi(t) using Carson's rule.(e) Can you determine from of (t) whether this is FM or PM? Explain.? covers all topics & solutions for UPSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 3. The FM signal (in volts): emptyset (t) = 20c (2pi107t + 10sin 2pi103t) * i presentacross a 500 resistive load.(a) What is the total average power?(b) What percentage of this power is at 10 MHz?(c) Find the peak frequency deviation.(d) Determine the approximate bandwidth of Phi(t) using Carson's rule.(e) Can you determine from of (t) whether this is FM or PM? Explain.?.
Solutions for 3. The FM signal (in volts): emptyset (t) = 20c (2pi107t + 10sin 2pi103t) * i presentacross a 500 resistive load.(a) What is the total average power?(b) What percentage of this power is at 10 MHz?(c) Find the peak frequency deviation.(d) Determine the approximate bandwidth of Phi(t) using Carson's rule.(e) Can you determine from of (t) whether this is FM or PM? Explain.? in English & in Hindi are available as part of our courses for UPSC.
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3. The FM signal (in volts): emptyset (t) = 20c (2pi107t + 10sin 2pi103t) * i presentacross a 500 resistive load.(a) What is the total average power?(b) What percentage of this power is at 10 MHz?(c) Find the peak frequency deviation.(d) Determine the approximate bandwidth of Phi(t) using Carson's rule.(e) Can you determine from of (t) whether this is FM or PM? Explain.?, a detailed solution for 3. The FM signal (in volts): emptyset (t) = 20c (2pi107t + 10sin 2pi103t) * i presentacross a 500 resistive load.(a) What is the total average power?(b) What percentage of this power is at 10 MHz?(c) Find the peak frequency deviation.(d) Determine the approximate bandwidth of Phi(t) using Carson's rule.(e) Can you determine from of (t) whether this is FM or PM? Explain.? has been provided alongside types of 3. The FM signal (in volts): emptyset (t) = 20c (2pi107t + 10sin 2pi103t) * i presentacross a 500 resistive load.(a) What is the total average power?(b) What percentage of this power is at 10 MHz?(c) Find the peak frequency deviation.(d) Determine the approximate bandwidth of Phi(t) using Carson's rule.(e) Can you determine from of (t) whether this is FM or PM? Explain.? theory, EduRev gives you an
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