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A message signal of frequency 10 kHz and...

A message signal of frequency 10 kHz and peak voltage 10 volt is used to modulate a carrier of frequency 0.5 MHz and peak voltage 100 volt. Determine (i) modulation index (ii) the side bands produced.

Text Solution

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Here, `v_m = 10 kHz = 10^4 Hz`
`A_m = 50V, v_c = 0.5 MHz = 5 xx 10^5 Hz`
`A_c = 100 V`
(i) Modulation index, `mu_a = A_m/A_c = 50/100 = 0.5`
(ii) The side bands are
`USB = v_c + v_m = 5 xx 10^5 + 10^4 = 10^5 (5+0.1)`
`= 5.1 xx 10^5 Hz`
`LSB = v_c - v_m = 5 xx 10^5 - 10^4 = 10^5 (5-0.1)`
`= 4.99 xx 10^5 Hz` .
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