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The maximum data rate of a channel of $3000$-Hz bandwidth and SNR of $30$ db is

  1. $60000$
  2. $15000$
  3. $30000$
  4. $3000$
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Max data rate = H * log2 ( 1 + S/N ) S/N is called signal to noise ratio

SNR value = 10 * log10 S/N dB (units for SNR is decibals)

SNR = 10 * log10 S/N 30 = 10 * log10 S/N

S/N = 1000

Max data rate =3000 * log2 ( 1 + 1000 ) = 30,000 bps
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