English
Karnataka Board PUCPUC Science 2nd PUC Class 12

For an Amplitude Modulated Wave, the Maximum Amplitude is Found to Be 10 V While the Minimum Amplitude is Found to Be 2 V. Determine the Modulation Index μ. What Would Be the Value of μ If the Minimum Amplitude is Zero Volt? - Physics

Advertisements
Advertisements

Question

For an amplitude modulated wave, the maximum amplitude is found to be 10 V while the minimum amplitude is found to be 2 V. Determine the modulation index μ. What would be the value of μ if the minimum amplitude is zero volt?

Advertisements

Solution

Maximum amplitude, Amax = 10 V

Minimum amplitude, Amin = 2 V

Modulation index μ, is given by the relation:

`mu= (A_"max" - A_"min")/(A_"max" + A_"min")`

`= (10 - 2)/(10 + 2) = 8/12 = 0.67`

if A_"min" = 0

Then `mu = A_"max"/A_"max"= 10/10 = 1`

shaalaa.com
  Is there an error in this question or solution?

Video TutorialsVIEW ALL [1]

RELATED QUESTIONS

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?


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?


How is amplitude modulation achieved?


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?


Define the term 'amplitude modulation'


Explain any two factors which justify the need for modulating a low frequency base-band signal.


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.


Define amplitude modulation in a communication system.


In amplitude modulation ______.


Identify the mathematical expression for amplitude modulated wave ______.


In amplitude modulation, the modulation index m, is kept less than or equal to 1 because ______.

  1. m > 1, will result in interference between carrier frequency and message frequency, resulting into distortion.
  2. m > 1 will result in overlapping of both side bands resulting into loss of information.
  3. m > 1 will result in change in phase between carrier signal and message signal.
  4. m > 1 indicates amplitude of message signal greater than amplitude of carrier signal resulting into distortion.

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.


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.


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 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 ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×