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Q. 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

NTA AbhyasNTA Abhyas 2022

Solution:

Here $A_{c}=12V$ , $A_{m}=?$
modulation index $\mu _{c}=75\%=0.75$
Since $\mu _{c}=\frac{A_{m}}{A_{c}}\Rightarrow 0.75=\frac{A_{m}}{12}$
$A_{m}=0.75\times 12=9V$