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In an amplitude modulated signal, modulating frequency is 10 kHz and modulation index is 0.6. What should be the best suited RC time constant for the envelop detector?
- a)0.52 msec
- b)0.02 msec
- c)0.20 msec
- d)0.35 msec
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
In an amplitude modulated signal, modulating frequency is 10 kHz and m...
For envelope detector, the time constant must satisfy the following relation:
For the good performance of the envelope detector:
Application:
Given:
fm = 10 kHz
modulation index (μ) = 0.6
From (1), we get
= 0.02 msec
Derivation of RC time constant formula for the envelope detector: )
For the output of the envelope detector to closely follow the modulating signal, the slope of vo is always greater than that of the envelope of AM signal input.
The output vo is the voltage across the capacitor which is exponentially decaying
Neglecting higher power terms as RC>>t
For successful detection, the rate of discharge of the capacitor i.e. magnitude of the slope of v0(t) must be more than that of the envelope
The envelope of the AM signal is
The slope of the message signal
The slope of output voltage
For DETECTION slope of capacitor voltage should be always more than the envelope of AM signal
RC must be less than the minimum of R.H.S.
For the good performance of the envelope detector:
Application:
Given:
fm = 10 kHz
modulation index (μ) = 0.6
From (1), we get
= 0.02 msec
Derivation of RC time constant formula for the envelope detector: )
For the output of the envelope detector to closely follow the modulating signal, the slope of vo is always greater than that of the envelope of AM signal input.
The output vo is the voltage across the capacitor which is exponentially decaying
Neglecting higher power terms as RC>>t
For successful detection, the rate of discharge of the capacitor i.e. magnitude of the slope of v0(t) must be more than that of the envelope
The envelope of the AM signal is
The slope of the message signal
The slope of output voltage
For DETECTION slope of capacitor voltage should be always more than the envelope of AM signal
RC must be less than the minimum of R.H.S.
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Community Answer
In an amplitude modulated signal, modulating frequency is 10 kHz and m...
The RC time constant for the envelop detector in an amplitude modulated signal can be determined using the formula:
RC = 1 / (2πfm)
Where:
RC is the time constant of the RC circuit
π is a mathematical constant approximately equal to 3.14159
fm is the modulating frequency
Given that the modulating frequency is 10 kHz, we can substitute this value into the formula to calculate the RC time constant.
RC = 1 / (2π * 10 kHz)
RC = 1 / (2 * 3.14159 * 10,000 Hz)
RC ≈ 1 / (62,832 Hz)
RC ≈ 0.0000159 seconds
This value is in seconds, but the options provided are in milliseconds. To convert seconds to milliseconds, we multiply the value by 1000.
RC ≈ 0.0000159 seconds * 1000 milliseconds/second
RC ≈ 0.0159 milliseconds
None of the given options match the calculated value exactly. However, we can select the option that is closest to the calculated value, which is 0.02 msec (option B).
Therefore, the best suited RC time constant for the envelop detector in this scenario is 0.02 msec.
RC = 1 / (2πfm)
Where:
RC is the time constant of the RC circuit
π is a mathematical constant approximately equal to 3.14159
fm is the modulating frequency
Given that the modulating frequency is 10 kHz, we can substitute this value into the formula to calculate the RC time constant.
RC = 1 / (2π * 10 kHz)
RC = 1 / (2 * 3.14159 * 10,000 Hz)
RC ≈ 1 / (62,832 Hz)
RC ≈ 0.0000159 seconds
This value is in seconds, but the options provided are in milliseconds. To convert seconds to milliseconds, we multiply the value by 1000.
RC ≈ 0.0000159 seconds * 1000 milliseconds/second
RC ≈ 0.0159 milliseconds
None of the given options match the calculated value exactly. However, we can select the option that is closest to the calculated value, which is 0.02 msec (option B).
Therefore, the best suited RC time constant for the envelop detector in this scenario is 0.02 msec.
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In an amplitude modulated signal, modulating frequency is 10 kHz and modulation index is 0.6. What should be the best suited RC time constant for the envelop detector?a)0.52 msecb)0.02 msecc)0.20 msecd)0.35 msecCorrect answer is option 'B'. Can you explain this answer?
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In an amplitude modulated signal, modulating frequency is 10 kHz and modulation index is 0.6. What should be the best suited RC time constant for the envelop detector?a)0.52 msecb)0.02 msecc)0.20 msecd)0.35 msecCorrect answer is option 'B'. Can you explain this answer? for Electronics and Communication Engineering (ECE) 2024 is part of Electronics and Communication Engineering (ECE) preparation. The Question and answers have been prepared according to the Electronics and Communication Engineering (ECE) exam syllabus. Information about In an amplitude modulated signal, modulating frequency is 10 kHz and modulation index is 0.6. What should be the best suited RC time constant for the envelop detector?a)0.52 msecb)0.02 msecc)0.20 msecd)0.35 msecCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Electronics and Communication Engineering (ECE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In an amplitude modulated signal, modulating frequency is 10 kHz and modulation index is 0.6. What should be the best suited RC time constant for the envelop detector?a)0.52 msecb)0.02 msecc)0.20 msecd)0.35 msecCorrect answer is option 'B'. Can you explain this answer?.
In an amplitude modulated signal, modulating frequency is 10 kHz and modulation index is 0.6. What should be the best suited RC time constant for the envelop detector?a)0.52 msecb)0.02 msecc)0.20 msecd)0.35 msecCorrect answer is option 'B'. Can you explain this answer? for Electronics and Communication Engineering (ECE) 2024 is part of Electronics and Communication Engineering (ECE) preparation. The Question and answers have been prepared according to the Electronics and Communication Engineering (ECE) exam syllabus. Information about In an amplitude modulated signal, modulating frequency is 10 kHz and modulation index is 0.6. What should be the best suited RC time constant for the envelop detector?a)0.52 msecb)0.02 msecc)0.20 msecd)0.35 msecCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Electronics and Communication Engineering (ECE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In an amplitude modulated signal, modulating frequency is 10 kHz and modulation index is 0.6. What should be the best suited RC time constant for the envelop detector?a)0.52 msecb)0.02 msecc)0.20 msecd)0.35 msecCorrect answer is option 'B'. Can you explain this answer?.
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