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Karnataka Board PUCPUC Science 2nd PUC Class 12

A Carrier Wave of Peak Voltage 12 V is Used to Transmit a Message Signal. What Should Be the Peak Voltage of the Modulating Signal in Order to Have a Modulation Index of 75%?

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Question

A carrier wave of peak voltage 12 V is used to transmit a message signal. What should be the peak voltage of the modulating signal in order to have a modulation index of 75%?

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Solution

Amplitude of the carrier wave, Ac = 12 V

Modulation index, m = 75% = 0.75

Amplitude of the modulating wave = Am

Using the relation for modulation index:

`m = A_m/A_c`

`:. A_m = mA_c`

`= 0.75 xx 12 = 9 V`

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