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A sinusoidal carrier has an amplitude of 10 V and frequency 30 kHz. It is amplitude modulated by a sinusoidal voltage of amplitude 3 V and frequency 1 kHz. The spectrum of AM wave will be represented as
Detailed Solution for Test: Amplitude Modulation - Question 2
∴ Modulation index,
The sideband frequencies are as under:
Amplitude of each sideband
Hence, the spectrum of AM wave will be as shown in figure below.
Assertion (A): The principle of envelope detection of an AM signal is based on multiplying the incoming signal with the locally generated synchronous carrier and pass the product through a LPF.
Reason (R): An envelope detector produces an output signal that follows the envelope of the input AM signal exactly.
Detailed Solution for Test: Amplitude Modulation - Question 3
The principle of envelope detection of an AM signal is based on rectifying the incoming signal and passing it through a LPF. Hence, assertion is false. Assertion is the principle of synchronous detection.
Consider the following statements associated with the synchronous detection method for detection/demodulation of AM signals:
1. The circuit complexity is very less.
2. It introduces frequency and phase errors only.
3. it does not require any locally generated synchronous carrier.
4. It can be used for DSB-SC, SSB and VSB but not for DSB-FC.
Which of the statements given above is/are correct?
Detailed Solution for Test: Amplitude Modulation - Question 4
• The circuit complexity of synchronous detection is very high. Hence, statement-1 is not correct.
• Statement-2 is correct.
• Synchronous detection require a locally generated synchronous carrier. Hence, statement-3 is not correct.
• Statement-4 is correct because synchronous detection is used for DSB-SC, SSB and VSB while envelope detection is used for DSB-FC only.
Assertion (A): in amplitude modulation, the higher percentage of modulation is preferred.
Reason (R): The modulation index of more than 100% can be achieved without compromising the envelope distortion.
(a) Both A and R are true and R is the correct explanation of A.
(b) Both A and R are true but R is not the correct explanation of A.
(c) A is true but R is false.
(d) A is false but R is true.
Detailed Solution for Test: Amplitude Modulation - Question 5
In amplitude modulation, the higher percentage of modulation is preferred because the higher value of percentage of modulation results into a strong and more intelligible received signal which is less likely to get contaminated or lost in the noise. A modulation index of more than 100% results into over modulation which introduces envelope distortion. Hence, assertion is true but reason is false.
The modulation index of the low level emitter modulator is 0.7, voltage gain without modulating signal is AQ = 100, carrier frequency fc = 1 MHz. The amplitude of carrier is 10 mV. If the modulating frequency is 1 kHz, the range of voltage gain is
Detailed Solution for Test: Amplitude Modulation - Question 8
The antenna current of an AM transmitter is 8 A if only the carrier is sent, but it increases to 8.93 A if the carrier is modulated by a single sinusoidal wave. What is the antenna current when the percent of modulation is 80%?
Detailed Solution for Test: Amplitude Modulation - Question 9
Given, Ic = 8 a, ma = 0.8
We know that, antenna current is
The antenna current of an AM transmitter is 10 A when it is modulated to depth of 30% by an audio signal. It increases to 11 A when another signal modulates the carrier signal. The modulation index due to second signal is
Detailed Solution for Test: Amplitude Modulation - Question 10
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