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in Physics by (63.7k points)

A carrier wave 

c(t) = Acsin (ωct)

is to be (i) amplitude modulated (ii) frequency modulated by a message signal

m(t) = Amsin (ωmt)

The equations (i) cma (t), for the amplitude modulated and (ii) cmf (t), for the frequency modulated, carrier wave, may then be expressed as

1 Answer

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Best answer

Correct option: (1)

Explanation:

In amplitude modulation, the amplitude, of the carrier, wave gets modified, in accordance with the ‘instantaneous amplitude’ of the message signal. Hence the instantaneous amplitude, of the carrier wave, has the form

Here there is no change in the frequency of the carrier wave. Hence the equation, for the amplitude modulated carrier wave, has the form

In frequency modulation, it is the frequency of the carrier wave that varies in accordance with the ‘instantaneous amplitude’ of the message signal. Hence the instantaneous frequency has the form 

The factor k here would have the dimensions of (hertz / volt)]. 

Here there is no change in the amplitude of the carrier wave. Hence the equation for the frequency modulated carrier wave would have the form

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