Engineering Board Exam Reviewer · Passive Filters · medium

The gain plot of a first-order RC low-pass filter is shown (the red dot marks the cutoff frequency). If a 3 V rms signal at 10 kHz is applied, what is the approximate output voltage?

  1. 0.299 V
  2. 2.12 V
  3. 0.948 V
  4. 0.03 V

Answer

A. 0.299 V

Solution

The cutoff is fc=1 kHz, so 10 kHz is one decade above it. A first-order low-pass rolls off at -20 dB/decade, giving about -20 dB at 10 kHz (read from the plot). VoutVin=10-20/20 0.1, so Vout (3)(0.1)=0.299 V.

More Passive Filters questions

  1. The RL high-pass filter shown uses R=470, and L=22 mH. Find its cutoff frequency.
  2. The RL low-pass filter shown uses R=10 k and L=100 mH. Find its cutoff frequency.
  3. Find the voltage gain, in decibels, of the RC low-pass filter shown (R=330, , C=100 nF) at 24.1 kHz.
  4. For the RC low-pass filter shown (R=6.8 k , C=22 nF), by how many degrees does the output voltage lag the input voltage at 3.19 kHz?
  5. An RC high-pass filter with C=470 nF and R=680, is driven by a 10 V rms sine wave at 124 Hz. Find the rms output voltage.
  6. An RC low-pass filter with R=470, and C=1, F is driven by a 10 V rms sine wave at 677 Hz. Find the rms output voltage.
  7. A band-pass filter has lower and upper cutoff frequencies of 8 kHz and 12 kHz. What is its bandwidth?
  8. Beyond the cutoff frequency, the output of a first-order passive filter rolls off at
  9. At the cutoff frequency of a first-order filter, the output voltage is what fraction of the maximum (passband) output?
  10. A low-pass filter

All Passive Filters questions