Break Freq low pass filter

Discussion in 'Homework Help' started by Random3s, Nov 28, 2014.

  1. Random3s

    Thread Starter Member

    Jul 30, 2014
    38
    0
    Hi all,

    I am looking into the effects of changing the capacitor has on a low pass filter.

    The circuit being used is below, however C2 has been changed to 0.47nF in order to plot the graph.

    I have read that the sharp gain increase at roll off is due to resonance, Id like to know where the break freq is measured from, before the or after when the output drops to within 3dB of the gain?

    Thanks in advance
     
  2. Papabravo

    Expert

    Feb 24, 2006
    10,135
    1,786
    On the actual response, which is not linear, there is a frequency at which the response is down 3 dB. The corner or break frequency is actually the intersection of the 0 dB line and the tangent to the slope of the response in the transition from pass band to stop band. It is lower than the actual 3 dB point, but not by much. That is why it is a useful approximation.
     
  3. Random3s

    Thread Starter Member

    Jul 30, 2014
    38
    0
    I am surprised you understood "before the or after when the output" its fairly ambiguous :)

    So here we take -3dB as the corner?
     
  4. Papabravo

    Expert

    Feb 24, 2006
    10,135
    1,786
    The corner or break frequency is an approximation to the -3 dB point. It is not exact. Look for example at the Bode Plot of a Butterworth filter to see the difference between the -3 dB point and the place where the slope of the rollof intersects the 0 dB level. It occurs before the -3 dB point.

    http://en.wikipedia.org/wiki/Butterworth_filter
     
  5. MikeML

    AAC Fanatic!

    Oct 2, 2009
    5,450
    1,066
    If you are trying to preserve the "Butterworth" response, you cannot just change one of the capacitors and expect the low-pass response to remain the same shape. You would have to change both capacitors by the same percentage, keeping the ratio C1/C2 constant.

    235.gif
     
    Last edited: Nov 28, 2014
    Papabravo likes this.
  6. Random3s

    Thread Starter Member

    Jul 30, 2014
    38
    0
    Thanks for your help papabravo.

    Mike, thanks also for the info, These caps behave almost like a voltage divider right? The difference being that caps are based on charge/discharge time?
     
  7. MikeML

    AAC Fanatic!

    Oct 2, 2009
    5,450
    1,066
    It is not that simple. Read the "Sallen-Key" section of the Wiki linked above.
     
  8. Papabravo

    Expert

    Feb 24, 2006
    10,135
    1,786
    His original plot was not a Butterworth response as indicated by the pre-rolloff peak. I used the Butterworth response as a clearer example of how the corner frequency and the -3 dB point are related. As mentioned in the wiki, a Butterworh response requires more restrictive values on the components.
     
  9. MikeML

    AAC Fanatic!

    Oct 2, 2009
    5,450
    1,066
    My take was that the original circuit (before he changed the one capacitor) had a Butterworth response. By changing only one capacitor, the response became very un-Butterworth...

    You can see that the original, unmodified circuit has a Butterworth response if you look at the sim I posted.
     
    Last edited: Nov 29, 2014
    Random3s likes this.
  10. Papabravo

    Expert

    Feb 24, 2006
    10,135
    1,786
    You're right. I never saw the original response, only the one with the peak and did not properly connect the response plot to the actual circuit configuration.
     
Loading...