Engineering Board Exam Reviewer · Passive Filters · medium

A band-pass filter has half-power frequencies of 3 kHz and 12 kHz. Its center frequency, taken as the geometric mean, is

  1. 7.5 kHz
  2. 9 kHz
  3. 6 kHz
  4. 2.4 kHz

Answer

C. 6 kHz

Solution

f0=sqrt(f1f2)=sqrt((3000)(12000))=6000 Hz. (The arithmetic mean 7.5 kHz is not the center for a resonant filter.)

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