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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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Envelop Detector:

An envelop detector is a circuit that extracts the envelope of an AM wave. It is used to recover the original modulating signal from the AM signal. The circuit consists of a diode, a capacitor, and a load resistor.

Time Constant:

The time constant of an RC circuit is the product of resistance and capacitance. It is denoted by the symbol τ (tau). The time constant determines how fast the capacitor charges and discharges.

Calculation:

The time constant of the envelop detector is given by the formula:

τ = RC

where R is the load resistor and C is the capacitance.

The modulating signal frequency is 2 kHz. To recover the original modulating signal, the time constant of the envelop detector should be equal to or greater than the period of the modulating signal.

The period of the modulating signal is given by:

T = 1/f

where f is the frequency.

T = 1/2 kHz = 0.5 ms

Therefore, the time constant of the envelop detector should be greater than or equal to 0.5 ms.

Option B has a time constant of 20 sec, which is much greater than 0.5 ms. Hence, it is the correct 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?
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