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# Question and Answer

A message signal of frequency  $$10\ {kHz}$$  and peak voltage of  $$10\ \mathit{V}$$  is used to modulate a carrier of frequency  $$1\ {Mhz}$$  and peak voltage of  $$20\ {V}$$ . Determine modulation index and the side bands produced.
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## QuestionClass 12

A message signal of frequency  $$10\ {kHz}$$  and peak voltage of  $$10\ \mathit{V}$$  is used to modulate a carrier of frequency  $$1\ {Mhz}$$  and peak voltage of  $$20\ {V}$$ . Determine modulation index and the side bands produced.

## Answer

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## Solution

Given data,
Frequency of message signal  $$f_m=10\ \mathit{kHz}$$
Amplitude of message signal  $$A_m=10\ V$$
Frequency of carrier signal  $$f_c=1\ {MHz}$$
Amplitude of carrier signal  $$A_c=20\ V$$
Modulation index,
$$\mu =\frac{A_m}{A_c}$$
$$=\frac{10}{20}$$
$$=0.5$$
Upper side band frequency $$=f_c+f_m$$
$$=\left(1\times 10^6\right)+(10\times 10^3)$$
$$=1010\ {kHz}$$
Lower side band frequency $$=f_c-f_m$$
$$=\left(1\times 10^6\right)+(10\times 10^3)$$
$$=990\ { kHz}$$
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