Frequency ModulationHardQuestion 20261
Question
Commercial FM radio has a channel bandwidth of 200 kHz. The maximum frequency deviation Δf allowed is 75 kHz. Using Carson's rule, the maximum audio frequency that can be transmitted is:
- A12.5 kHz
- B15 kHzCorrect
- C25 kHz
- D75 kHz
Correct answer
15 kHz
Explanation
Carson's rule: BW = 2(Δf + fm). So 200 = 2(75 + fm) → 100 = 75 + fm → fm = 15 kHz. This is why FM has better audio quality — it covers the full audible range (20 Hz – 15 kHz vs. 4.5 kHz for AM voice).