If bandwidth increases while keeping the same signal-to-noise ratio, what happens to the maximum achievable data rate?

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Multiple Choice

If bandwidth increases while keeping the same signal-to-noise ratio, what happens to the maximum achievable data rate?

Explanation:
The key idea is how channel capacity depends on bandwidth and signal-to-noise ratio. According to the Shannon-Hartley theorem, C = B log2(1 + S/N). If the signal-to-noise ratio stays fixed, the term log2(1 + S/N) stays constant, so the capacity increases in direct proportion to the bandwidth. In other words, expanding the usable spectrum gives more room to transfer data, boosting the maximum achievable data rate. The exact maximum rate is limited by other real-world factors, but with the same SNR, larger bandwidth raises the theoretical upper limit.

The key idea is how channel capacity depends on bandwidth and signal-to-noise ratio. According to the Shannon-Hartley theorem, C = B log2(1 + S/N). If the signal-to-noise ratio stays fixed, the term log2(1 + S/N) stays constant, so the capacity increases in direct proportion to the bandwidth. In other words, expanding the usable spectrum gives more room to transfer data, boosting the maximum achievable data rate. The exact maximum rate is limited by other real-world factors, but with the same SNR, larger bandwidth raises the theoretical upper limit.

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