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RC Time Constant Calculator

Charge time and cutoff frequency.

Reviewed by James Whitfield · How we check our maths

Your values

ⓘ Live results

Results
Time constant
1 s
Time to 99% charge
5 s
Voltage after 1τ
7.58 V
Cutoff frequency
0.16 Hz

Quick answer

One RC time constant charges a capacitor to 63% of the supply voltage.

The formula

τ = R × C

Worked example

Worked example

Using the values the calculator loads with.

Inputs

  • Resistance10 kΩ
  • Capacitance100 µF
  • Supply voltage12 V

Result

  • Time constant1 s
  • Time to 99% charge5 s
  • Voltage after 1τ7.58 V
  • Cutoff frequency0.16 Hz

How to use the RC Time Constant Calculator

  1. 1Enter resistance in kilohms.
  2. 2Enter capacitance in microfarads.
  3. 3Enter supply voltage.

Frequently asked questions

Why five time constants?

After 5τ the capacitor is over 99% charged, treated as fully charged.

Is discharge the same?

Yes — it falls to 37% after one time constant.

About this calculator