3rd order low pass Butterworth active filter

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To design a 3rd order low pass Butterworth active filter with an 8 kHz cutoff frequency, it is clarified that a 3-pole Butterworth filter is uncommon. The design involves using a second order filter for the first stage and a first order filter for the second stage. Component values for resistors (R) and capacitors (C) should be selected to satisfy the equation 1/RC = 2π x 8 x 10^3. It's important to avoid a unit gain amplifier in the first stage, as the gain should be adjusted to meet the filter's requirements. Properly configuring these stages will ensure the desired filter characteristics.
tinhnho
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Hi everyone

Does anyone know how to design a 3rd order low pass Butterworth active filter with a cutoff frequency of 8khz ? thanks

p/s: Attachment below is what i have
 

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When you say "3rd order" do you mean 3-pole? I have never seen a 3-pole Butterworth filter, and doubt that such a thing exists.

- Warren
 
3rd other butterworth polynomial:
(s+1)(s^2+s+1)

4th order:
(s^2+.765s+1)(s^2+1.848s+1)

etc...
 
Your first stage is a second order filter and the second stage is a first order filter. In each stage you should choose R and C such as 1/RC = 2πx8x103.
Only, in order to have a Butterworth filter you should not have a unit gain amplifier in the first stage. According to your table, the gain of that stage should be 3 - 1 = 2.
 
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