A bandwidth of 6 MHz is available for A.M. transmission.

Question:

A bandwidth of 6 MHz is available for A.M. transmission. If the maximum audio signal frequency used for modulating the carrier wave is not to exceed 6 kHz. The number of stations that can be broadcasted within this band simultaneously without interfering with each other will be______. 

Solution:

Signal bandwidth $=2 \mathrm{fm}$

$=12 \mathrm{kHz}$

$\therefore \mathrm{N}=\frac{6 \mathrm{MHZ}}{12 \mathrm{kHZ}}=\frac{6 \times 10^{6}}{12 \times 10^{3}}=500$

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