मराठी
कर्नाटक बोर्ड पी.यू.सी.पीयूसी विज्ञान 2nd PUC Class 12

On radiating (sending out) an AM modulated signal, the total radiated power is due to energy carried by ωc, ωc – ωm and ωc + ωm.

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प्रश्न

On radiating (sending out) an AM modulated signal, the total radiated power is due to energy carried by ωc, ωc – ωm and ωc + ωm. Suggest ways to minimise cost of radiation without compromising on information.

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उत्तर

Sideband frequencies: The AM wave contains three frequencies ωc, (ωc + ωm) and (ωc – ωm), ωc is called carrier frequency, (ωc + ωm) and ( ωc – ωm) are called sideband frequencies.

c + ωm) = Upper sideband (USB) frequency

c – ωm) =Lower sideband (LSB) frequency

Sideband frequencies are generally close to the carrier frequency.

Only side band frequencies contain information in amplitude modulated signal, [only (ωc+ ωm) and (ωc + ωm)].

Here, the total radiated power is due to energy carried by ωc, (ωc – ωm) and (ωcm)

For reduction of the cost of radiation without compromising on information, ωc can be left and transmit the frequencies (ωc + ωm), (ωc – ωm) or both (ωc + ωm) and (ωc – ωm).

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पाठ 15: Communication Systems - Exercise [पृष्ठ १०३]

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एनसीईआरटी एक्झांप्लर Physics Exemplar [English] Class 12
पाठ 15 Communication Systems
Exercise | Q 15.25 | पृष्ठ १०३

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संबंधित प्रश्‍न

Explain any two factors that justify the need of modulating a low-frequency signal.


A signal of 5 kHz frequency is amplitude modulated on a carrier wave of frequency 2 MHz. What are the frequencies of the side bands produced?


Draw a block diagram of a detector for AM signal and show, using necessary processes and the waveforms, how the original message signal is detected from the input AM wave.


Explain the process of amplitude modulation.


A modulating signal is a square wave, as shown

The carrier wave is given by  `c(t) = 2 sin (8pit) "volts"`

(i) Sketch the amplitude modulated waveform

(ii) What is the modulation index?


The frequencies of two side bands in an AM wave are 640 kHz and 660 kHz respectively. Find the frequencies of carrier and modulating signal. What is the bandwidth required for amplitude modulation?


Write three important factors which justify the need of modulating a message signal. Show diagrammatically how an amplitude modulated wave is obtained when a modulating signal is superimposed on a carrier wave.


Why is frequency modulation preferred over amplitude modulation for transmission of music?


Solve the following question.
A message signal of frequency 20 kHz and peak voltage 10 V is used to modulate a carrier of frequency 2 MHz and peak voltage of 15 V. Calculate the modulation index. Why the modulation index is generally kept less than one? 


In amplitude modulation ______.


Identify the mathematical expression for amplitude modulated wave ______.


The maximum amplitude of an A.M. wave is found to be 15 V while its minimum amplitude is found to be 3 V. What is the modulation index?


Compute the LC product of a tuned amplifier circuit required to generate a carrier wave of 1 MHz for amplitude modulation.


An amplitude modulated wave is as shown in figure. Calculate

  1. the percentage modulation
  2. peak carrier voltage and
  3. peak value of information voltage.


Draw the plot of amplitude versus ‘ω’ for an amplitude modulated wave whose carrier wave (ωc) is carrying two modulating signals, ω1 and ω22 > ω1). 

  1. Is the plot symmetrical about ωc? Comment especially about plot in region ω < ωc.
  2. Extrapolate and predict the problems one can expect if more waves are to be modulated.
  3. Suggest solutions to the above problem. In the process can one understand another advantage of modulation in terms of bandwidth?

An audio signal vm = 20sin2π(1500t) amplitude modulates a carrier vc = 80 sin 2π (100,000t). The value of percent modulation is ______.


An amplitude-modulated wave is represented by Cm(t) = 10(1 + 0.2 cos 12560t) × sin (111 × 104t) volts. The modulating frequency in kHz will be ______.


The maximum and minimum voltage of an amplitude modulated signal are 60 V and 20 V respectively. The percentage modulation index will be ______.


The maximum amplitude for an amplitude modulated wave is found to be 12V while the minimum amplitude is found to be 3V. The modulation index is 0.6x where x is ______.


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