Calculate the transfer function for 3rd order Sallen-Key low-pass filter with R and C values

Vi→ →Vo Transfer function:     Transfer function of 3rd order Sallen-Key low-pass filter 2nd order Sallen-Key low-pass filter tool, use also.

R1=Ω C1=F R2=Ω C2=F R3=Ω C3=F p:pico, n:nano, u:micro, k:kilo, M:mega Frequency analysis Bode diagram     Phase  Group delay Nyquist diagram Pole, zero Phase margin Oscillation analysis Analysis on frequency range:   f1=∼f2=[Hz] (optional) Transient analysis Step responseImpulse response Overshoot Final value of the step response Analysis on time range:   0∼[sec] (optional)

Calculate the R and C values for the Sallen-Key filter at a given frequency and damping ratio ζ

Vi→ →Vo ※ 3rd order filters are usually made from combinations of 1st and 2nd order filters following the equivalent block diagram. Equivalent block diagram: Vi→ 2πfc1  s+2πfc1  → (2πfc2)2  s2+2ζ(2πfc2)s+(2πfc2)2  →Vo Transfer function block diagram:

Select filter type Set parameters of the equivalent block diagram 1st order filter:   fc1=Hz 2nd order filter:   fc2=Hz Damping ratio ζ = Butterworth filter   Cut-off frequency   fc=Hz Chebyshev filter   Characteristic frequency   fc=Hz   Gain ripple gr=dB Bessel filter   Characteristic frequency   fc=Hz C1 = F C2 = F C1, C2 is optional. But when setting these capacitances, C1 and C2 of both are needed. Select Capacitor Sequence: E6 E12 E24 Select Resistor Sequence: E24 E12 E6 E96 Frequency analysis Bode diagram     Phase  Group delay Nyquist diagram Pole, zero Phase margin Oscillation analysis Analysis on frequency range:   f1=∼f2=[Hz] (optional) Transient analysis Step responseImpulse response Overshoot Final value of the step response Analysis on time range:   0∼[sec] (optional)