A telephonic communication service is working at carrier frequency of 10 GHz. Only 10% of it is util

Question

A telephonic communication service is working at carrier frequency of 10 GHz. Only 10% of it is utilized for transmission. How many telephonic channels can be transmitted simultaneously if each channel requires a bandwidth of 5 kHz ?

Accepted Answer

Since the carrier frequency is distributed as
band width frequency, so
10% of 10 GHz = n $\times$ 5 kHz
where n = no of channels
$\frac{10}{100}$ $\times$ 10 $\times$ 10⁹ = n $\times$ 5 $\times$ 10³
n = 2 $\times$ 10⁵ telephonic channels

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