A carrier wave of peak voltage 12V is used to transmit a message...

A carrier wave of peak voltage $12V$ is used to transmit a message signal. The peak voltage of the modulating signal in order to have a modulation index of $75 %$ & is

Options

A $8V$
B $6V$
C $7V$
D $9V$

Correct answer

D. $9V$

Step-by-step solution

Here ${A}_{c} = 12V$ , ${A}_{m} = ?$

modulation index ${μ}_{c} = 75% = 0.75$

Since ${μ}_{c} = \dfrac{Am}{Ac} ⇒ 0.75 = \dfrac{Am}{12}$

${A}_{m} = 0.75 \times 12 = 9V$

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