RC time constant calculator

Enter the resistance and capacitance.

Your answer

Time constant τ1 s
Cutoff frequency0.159 Hz
Time to 99% (5τ)5 s

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How we worked it out

Updated as you change the numbers.

  1. τ = R × C. After τ the capacitor is at 63.2%; after 5τ, 99.3%. Cutoff f = 1 ÷ (2πRC).

Method and assumptions

The voltage on a charging capacitor is V(1 − e^(−t/τ)). The same RC pair forms a low- or high-pass filter with its −3 dB point at 1 ÷ (2πRC).

Questions

What is the time constant of 10 kΩ and 100 µF?

1 second; the cutoff frequency is 0.159 Hz.

Sources

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