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RC Time Constant Calculator

Compute τ = R × C for a resistor-capacitor pair. Default 1000 Ω and 10 µF gives τ = 0.01 s. The page also shows 5τ, about 99.3% of full charge on an ideal step. Informational only.

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How to find the RC time constant

  1. Enter resistance in ohms. Default is 1000 Ω.
  2. Enter capacitance and pick the unit. Default is 10 µF.
  3. Read τ in seconds and 5τ as a rough full-charge time constant.
  4. This is an ideal exponential model. Nothing is uploaded.

RC time constant

τ = R × C

TauSeconds to reach ~63.2% of final voltage on a step
Five tauAbout 99.3% of final value
ResistanceOhms in series with the capacitor path
CapacitanceFarads after unit conversion
Default1 kΩ × 10 µF = 0.01 s
ApprovalInformational. Not a timing sign-off.

What tau means

On a simple RC charge, voltage approaches the supply exponentially with time constant τ = R × C. After one τ the capacitor is at about 63.2% of the final value. After 5τ it is within about 0.7% of final on the ideal curve.

Unit conversion

Capacitance accepts F, mF, µF, nF, or pF. Resistance stays in ohms. The engine converts to base SI before multiplying.

Charge and energy

Charge Q = C × V is on capacitance to charge. Plate geometry C is on parallel plate capacitance.

Limits

Single RC, ideal components, no ESR or leakage modeled.

The formula runs in this tab. CZNull does not receive the numbers.

Informational only. Not wiring, code, or manufacturer approval. See the disclaimer.

What is tau for 1 kΩ and 10 µF?
0.01 s. Multiply 1000 Ω by 10×10⁻⁶ F.
Why does the page show 5τ?
Five time constants bring an ideal exponential to about 99.3% of the final value, a common rule of thumb.
Does this include inductors?
No. RL and RLC networks need different URLs. This page is RC only.
Can I use nanofarads?
Yes. Pick nF in the capacitance unit list and enter the numeric value.
Is discharge the same time constant?
For the same R and C in a simple model, the discharge exponential uses the same τ = R × C.