Undampened Natural Angular Frequency ( $omega_0$ )

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$omega_0 = 1/sqrt( R_1 * R_2 * C_1 * C_2 )$

$"Resistance 1"$

$"Resistance 2"$

$"Capacitance 1"$

$"Capacitance 2"$

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This equation computes the angular frequency term ( $omega_0$ ) of the transfer function 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.

$omega_0$ is derived from the resistances and capacitances ( $R_1, R_2, C_1, C_21$ ) of the filter (see picture).

/attachments/f0dc606d-3d3f-11e3-83ad-bc764e049c3d/UndampenedNaturalAngularFrequencyomega0-illustration.png

Undampened Natural Angular Frequency (ω0omega_0)

Undampened Natural Angular Frequency ( $omega_0$ )