Engineering Board Exam Reviewer · Passive Filters · easy

At the cutoff frequency of a first-order filter, the output voltage is what fraction of the maximum (passband) output?

  1. 0.5
  2. 0.637
  3. 0.707
  4. 0.9

Answer

C. 0.707

Solution

The cutoff (or -3 dB) frequency is where the gain has fallen to 1/ 2=0.707 of its passband value.

More Passive Filters questions

  1. A low-pass filter
  2. The RC high-pass filter shown uses R=4.7 k and C=22 nF. Find its cutoff frequency.
  3. The RC low-pass filter shown uses R=15 k and C=10 nF. Find its cutoff frequency.
  4. Two identical RC low-pass sections, each with a cutoff of 1 kHz, are cascaded with a buffer between them so that the sections do not load…
  5. A first-order RC high-pass filter delivers 3.5 V rms for a 10 V rms input at 500 Hz. What is its cutoff frequency?
  6. In the loaded low-pass filter shown, R1=1 k , R2=1.5 k (the load), and C=100 nF. Find the cutoff frequency.
  7. The band-stop (notch) filter shown has R=220, , L=25 mH, and C=400 nF. At what frequency is the output voltage (ideally) zero?
  8. A band-pass filter has half-power frequencies of 3 kHz and 12 kHz. Its center frequency, taken as the geometric mean, is
  9. A second-order passive low-pass filter (two reactive sections) rolls off at what rate beyond its cutoff frequency?
  10. A series resonant band-pass filter has a center frequency of 10 kHz and a quality factor of 25. What is its bandwidth?

All Passive Filters questions