`H(s) = (2 pi f_0 )^2 / ( "s" ^2 + 2 alpha "s" + (2 pi f_0 )^2)`

Enter a value for all fields

This equation computes the transfer function H(s) for a unity gain low pass filter implementation of the Sallen-Key topology.  This electronic filter is a special case of a second-order unity gain filter version of the voltage-controlled voltage-source (VCVS) topology.

In this equation the angular frequency `omega_0` is replaced by a function of undamped natural frequency `f_0`.

`omega_0` = 2 `pi  f_0`

---

Sallen-Key Calculators:

• Sallen-Key α filter 
• Sallen-Key Q Factor (ω₀ ,α) 
• Sallen-Key Q Factor (R&C) 
• Sallen-Key Unity Gain Low Pass Filter - Transfer Function
• Sallen-Key Unity Gain Low Pass Filter - Transfer Function (f0)
• Sallen-Key Unity Gain Low Pass Filter - Transfer Function (R&C)