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Question
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?
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Solution
Let frequency of carrier wave be fc and frequency of modulating wave be fm
fc+ fm = 660 kHz ....... (i)
fc− fm = 640 kHz ....... (ii)
Solving (i) and (ii), we get
2 fc = 1300
⇒ fc = 650 kHz
Now,
fc+ fm = 660 kHz
650+ fm = 660 kHz
⇒fm = 10 kHz
We know,
Bandwidth = 2×fm = 20 kHz
Hence,
Frequency of carrier signal is 650 kHz
Frequency of modulating signal is 10 kHz
Bandwidth required for amplitude modualtion is 20 kHz
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