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.
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How to use this calculator
- Enter the resistance R in ohms.
- Enter the capacitance C and pick its unit.
- Click Calculate for the cutoff (−3 dB) frequency and time constant.
Quick reference: cutoff frequency
| R | C | Cutoff fc |
|---|---|---|
| 1 kΩ | 100 nF | 1.59 kHz |
| 1 kΩ | 10 nF | 15.9 kHz |
| 10 kΩ | 100 nF | 159 Hz |
| 10 kΩ | 1 µF | 15.9 Hz |
| 100 kΩ | 10 nF | 159 Hz |
The RC filter formula
The cutoff frequency (where the output has fallen by 3 dB, to about 70.7% of the input) is:
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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