Discussion
Maximum data rate of a channel of 3000 Hz bandwidth and SNR of 30 dB is
Answer: C
Correct answer: 30,000 bps
Shannon's formula applies, with 30 dB meaning a power ratio of 1000:
\[ C = B\log_{2}\!\left(1+\frac{S}{N}\right) = 3000\log_{2}(1001) \approx 3000\times 9.97 \approx 30{,}000\ \text{bps} \]
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