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  4. A FM Broad cast transmitter, using modulating signal of frequency 20 kHz has a deviation ratio of 10. The Bandwidth required for transmission is :

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Q. A FM Broad cast transmitter, using modulating signal of frequency $20 \,kHz$ has a deviation ratio of $10$. The Bandwidth required for transmission is :

JEE MainJEE Main 2022Communication Systems

Solution:

Given
FM broadcast
Modulating frequency $=20\, k \,Hz = f$
Deviation ratio $=\frac{\text { frequency deviation }}{\text { modulating frequency }}=\frac{\Delta f }{ f }$
$\Rightarrow$ frequency deviation $-\Delta f = f \times 10$
$=20\, kHz \times 10=200\, kHz$
$\Rightarrow$ Bandwidth $=2( f +\Delta f )$
$=2(20+200) \,kHz$
$=440 \,kHz$