RC Filter Calculator

Find the cutoff (−3 dB) frequency and time constant of a passive RC low-pass or high-pass filter from a resistor and capacitor value.

How to use this calculator

  1. Enter the resistance R in ohms.
  2. Enter the capacitance C and pick its unit.
  3. Click Calculate for the cutoff (−3 dB) frequency and time constant.

Quick reference: cutoff frequency

RCCutoff fc
1 kΩ100 nF1.59 kHz
1 kΩ10 nF15.9 kHz
10 kΩ100 nF159 Hz
10 kΩ1 µF15.9 Hz
100 kΩ10 nF159 Hz

The RC filter formula

The cutoff frequency (where the output has fallen by 3 dB, to about 70.7% of the input) is:

fc = 1 / (2π × R × C)

The time constant τ (tau) is simply R × C, the time the capacitor takes to charge to about 63% of the applied voltage. The same R and C give the same cutoff whether the circuit is wired as a low-pass or high-pass filter; only the position of R and C relative to the output changes which frequencies pass.

Frequently asked questions

What is the RC filter cutoff frequency formula?
f_c = 1 / (2π × R × C). For example, 1 kΩ with 100 nF gives about 1.59 kHz.
What is the time constant?
τ = R × C, the time the capacitor takes to charge to about 63% of the applied voltage.
What is the difference between low-pass and high-pass?
The same R and C give the same cutoff; whether it is low-pass or high-pass depends on where the output is taken relative to R and C.

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