RC Time Constant Calculator
The RC time constant tau equals resistance times capacitance and sets how fast a capacitor charges or discharges. Pick which value to solve for, enter the other two, and the calculator returns tau plus the 95% and 99% charge times (3 tau and 5 tau) and the filter cutoff frequency f = 1 / (2 pi R C). Times are shown in sensible units like ms or us, so a 1k ohm and 1 uF pair reads tau = 1 ms.
How to use the RC time constant calculator
- Open the 'Solve for' menu and pick Time constant, Resistance, or Capacitance.
- The two input fields relabel to the values you must supply for that choice.
- Enter the first value, for example Resistance in ohms.
- Enter the second value, for example Capacitance in farads (1 uF is 0.000001).
- Read the tau, 95% charge (3 tau), 99% charge (5 tau), R, C and cutoff frequency cards.
- Click Copy to save all six results as labeled lines.
Examples
1k ohm and 1 microfarad
solve for time constant, R = 1000 ohm, C = 0.000001 F
tau = 1 ms, 95% = 3 ms, 99% = 5 ms, cutoff = 159.154943 Hz
Solve for resistance
solve for resistance, tau = 0.001 s, C = 0.000001 F
R = 1000 ohm, tau = 1 ms
10k ohm and 10 microfarad
solve for time constant, R = 10000 ohm, C = 0.00001 F
tau = 100 ms, 99% = 500 ms, cutoff = 1.591549 Hz
Frequently asked questions
What is the RC time constant?
The time constant tau is resistance times capacitance (tau = R x C), measured in seconds. It is the time for the capacitor to charge to about 63.2% of the supply voltage, or to fall to about 36.8% when discharging. Larger R or C means a slower circuit.
How long does an RC circuit take to fully charge?
Roughly five time constants. After 1 tau a capacitor reaches about 63%, after 3 tau about 95%, and after 5 tau about 99%, which is usually treated as fully charged. The tool shows the 3 tau and 5 tau times directly.
What is the cutoff frequency of an RC filter?
The corner frequency is f = 1 / (2 pi R C), the point where a first-order RC filter attenuates the signal by 3 dB. For 1k ohm and 1 microfarad the calculator shows 159.154943 Hz, which rounds to about 159.15 Hz.
How do I enter microfarads or nanofarads?
Convert to farads first, because the field expects farads. 1 microfarad (uF) is 0.000001, or 1e-6, and 1 nanofarad (nF) is 1e-9. You can type scientific notation like 1e-6 directly into the capacitance box.
Can I solve for resistance or capacitance?
Yes. Set the Solve for menu to Resistance or Capacitance, then enter the time constant plus the one component you know. The calculator rearranges tau = R x C, so R = tau / C and C = tau / R, to find the missing value.
Why are my times shown in ms or us instead of seconds?
The tool auto-scales the time unit for readability. Values of 1 second or more show in seconds, milliseconds appear as ms, microseconds as us, and smaller values as ns. So tau of 0.001 s is displayed as 1 ms rather than a string of leading zeros.
Does the time constant depend on voltage?
No. Tau depends only on R and C, not on the supply voltage. A higher supply charges the capacitor to a higher final voltage but follows the same exponential timing curve, reaching 63% at 1 tau regardless of the level.
Does this cover both charging and discharging?
Yes, the timing is symmetric. The same tau that charges a capacitor to 63.2% of the supply in one time constant also discharges it to 36.8% of its starting voltage in one time constant, and about five tau to settle either way.
Is my data sent anywhere?
No. The calculation runs entirely in your browser, so the component values you enter never leave your device and nothing is stored on a server.
Learn more
- The RC charge curve and time constant
How a capacitor charges along an exponential curve, what the 63%, 95% and 99% marks mean, and why five time constants counts as full.
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