RC pad corner frequency cutoff calculation calculate filter time constant RC - sengpielaudio
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• R-C Filter and Cutoff  frequency

Calculation: R and CCorner frequency fc
R × CTime constant τ
CR pad
Bass cut -
High pass - CR filter:
 
This CR filter rolls off the frequency response at 6 dB per octave below the cutoff frequency.
The same calculation applies to both filters. The calculator assumes a low source impedance, which usually is small enough that it does not change the cutoff frequency.
RC pad
Treble cut -
Low pass - RC filter:
 
This RC filter rolls off the frequency response at a ratio of 6 dB per octave above the cutoff frequency (corner frequency). The same calculation applies to both filters.

Aha!
At the cut-off frequency fc the voltage is always damped to the value of 1/√2
and the voltage level is damped to 20 · log(1/√2) = (−)3,0103 dB.
Resistor
(Ω)




Capacitor
(μF)




Cutoff frequency
(Hz)




Time constant
(s)




Formula fc - sengpielaudio

Formula tc - sengpielaudio

Short conditional equations:
fc in Hz = 159155 /
τ in µs
τ in µs = 159155 / fc in Hz

The Greek letter for time constant is tau = τ, and 1 microsecond is 10-6 seconds.
The cutoff frequency is also called corner frequency.
More formulas you find here "Zeitkonstante und Übergangsfrequenz"

Frequency response and equalization - Conversion: time constant to cut-off frequency

For a sound designer it is strange to cut off high frequencies with a low-pass filter and to cut off
bass frequencies with a high-pass filter. Filters change the sound in special frequency regions.
Filters changing the bass frequencies are application-oriented called low cut filter, bass cut filter, or rumble
filter. Filters changing the treble frequencies are better called treble cut filter, high cut filter, or noise filter.

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