The modulation index of an FM carrier having | vedclass

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Question

(B) The carrier swing $(CS)$ in $FM$ is defined as the total frequency deviation,which is $2 	imes \Delta f$,where $\Delta f$ is the frequency deviat

Vedclass · Accepted Answer

$10$

Vedclass · Answer

(B) The carrier swing $(CS)$ in $FM$ is defined as the total frequency deviation,which is $2 	imes \Delta f$,where $\Delta f$ is the frequency deviation.Given: $CS = 200\, kHz$ and modulating frequency $f_m = 10\, kHz$.First,calculate the frequency deviation: $\Delta f = \frac{CS}{2} = \frac{200\, kHz}{2} = 100\, kHz$.The modulation index $(m_f)$ is given by the ratio of frequency deviation to the modulating frequency: $m_f = \frac{\Delta f}{f_m}$.Substituting the values: $m_f = \frac{100\, kHz}{10\, kHz} = 10$.Therefore,the modulation index is $10$.

The modulation index of an $FM$ carrier having a carrier swing of $200\, kHz$ and a modulating signal frequency of $10\, kHz$ is:

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