In an amplitude modulation,a modulating signa | vedclass

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Question

(C) The modulation index $\mu$ is defined as the ratio of the amplitude of the modulating signal $(A_m)$ to the amplitude of the carrier signal $(A_c)

Vedclass · Accepted Answer

$2:1$

Vedclass · Answer

(C) The modulation index $\mu$ is defined as the ratio of the amplitude of the modulating signal $(A_m)$ to the amplitude of the carrier signal $(A_c)$: $\mu = \frac{A_m}{A_c}$.In the first case,the modulating signal amplitude is $A_m = X$ and the carrier signal amplitude is $A_c = Y$. Thus,$\mu_1 = \frac{X}{Y}$.In the second case,the modulating signal amplitude is $A_m = X$ and the carrier signal amplitude is $A_c = 2Y$. Thus,$\mu_2 = \frac{X}{2Y}$.The ratio of the modulation indices is $\frac{\mu_1}{\mu_2} = \frac{X/Y}{X/2Y} = \frac{2}{1}$.Therefore,the ratio is $2:1$.

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