InputTestHub

RC Time Constant Calculator

Calculates the RC time constant, the charge and discharge curve at each step, and the filter corner frequency.

Calculators Nothing uploaded No sign-up Free, unlimited
Calculators tool
Enter your figures and press Calculate.
In short The RC time constant is simply resistance times capacitance, and with consistent units it comes out in seconds: 1 kΩ with 1 µF gives exactly 1 ms. What that number means is the useful part. After one time constant the capacitor has reached 63.2% of the supply, and 63.2% is not an arbitrary figure — it is 1 − 1/e. The capacitor charges at a rate proportional to how far it still has to go, so each time constant covers the same fraction of whatever remains, which is why it never quite arrives. By convention a capacitor is considered charged after five time constants, at 99.3%. Mathematically it is still climbing; practically nothing can measure the difference. Discharging is the mirror image: 36.8% left after one time constant, 0.7% after five. The same RC network is also a first-order filter, with its corner at 1 ÷ (2πRC) — 159.15 Hz for that 1 kΩ and 1 µF — where the output is 3 dB down. Take the output across the capacitor and it is a low-pass; swap the two components and it is a high-pass with the same corner. And for debouncing a mechanical switch, aim for a time constant of a few milliseconds: bounce usually settles within 5 to 20 ms, so much shorter lets it through and much longer makes the button feel sluggish.

How to use the RC Time Constant Calculator

  1. Enter the resistance and capacitance.
  2. Read the time constant and the five-step charge table.
  3. Check the corner frequency if you are using it as a filter.

About the RC Time Constant Calculator

RC time constant, the charge and discharge curve, and the filter corner frequency.

What people use it for

  • Working out how long a capacitor takes to charge.
  • Designing a simple low-pass or high-pass filter.
  • Choosing an RC pair for switch debouncing.

Details

The formulaτ = R × C — ohms times farads gives seconds
1 kΩ × 1 µFexactly 1 ms
After one τ63.2% charged, which is 1 − 1/e
Considered fullafter 5τ, at 99.3%
As a filtercorner at 1 ÷ (2πRC)
PrivacyEverything runs in your browser. Nothing you enter is sent anywhere
The charge and discharge percentages at one through five time constants are shown together, since the two curves are mirror images of each other.

Where this tool stops

These are ideal-component calculations. Real resistors drift with temperature and age, real capacitors lose capacitance with applied voltage, and every semiconductor changes with temperature — so treat the figures as a starting point and check anything critical against the datasheet. Nothing here covers mains voltages: the site's installation tools are separate, and mains wiring is a job for a qualified electrician.

Frequently asked questions

What is the RC time constant?
Resistance multiplied by capacitance. In ohms and farads the answer is in seconds, so 1 kΩ and 1 µF give 1 millisecond. It is the time to reach 63.2% of the final voltage.
Why 63.2%?
Because it is 1 − 1/e. The charging rate is proportional to the remaining gap, so each time constant closes the same fraction of what is left — an exponential approach that never formally finishes.
How long until a capacitor is fully charged?
Five time constants, by convention, at which point it is 99.3% there. Strictly it never finishes, but no instrument will show you the difference.
How do I pick an RC for debouncing?
A few milliseconds. Switch bounce typically settles within 5 to 20 ms, so a τ of 1 to 5 ms filters it without making the button feel slow.
Is an RC filter low-pass or high-pass?
Both, depending on where you take the output. Across the capacitor it is low-pass; across the resistor it is high-pass. The corner frequency is the same either way.
Does the RC Time Constant Calculator cost anything?
No charge and no sign-up. There is no free tier to run out of because there is no paid tier — inputtesthub.com is funded by advertising rather than by metering the page.
Is my data uploaded anywhere?
No. The RC Time Constant Calculator runs entirely in your browser using JavaScript. Your input never reaches inputtesthub.com or any third party — open your browser's Network tab while you use it and you will see no request go out.
When would I actually need the RC Time Constant Calculator?
In practice it gets used for three things: working out how long a capacitor takes to charge. Designing a simple low-pass or high-pass filter. Choosing an RC pair for switch debouncing. It is built for exactly those cases rather than being a general-purpose tool with this bolted on.
Is there anything the RC Time Constant Calculator cannot do?
These are ideal-component calculations. Real resistors drift with temperature and age, real capacitors lose capacitance with applied voltage, and every semiconductor changes with temperature — so treat the figures as a starting point and check anything critical against the datasheet. Nothing here covers mains voltages: the site's installation tools are separate, and mains wiring is a job for a qualified electrician. Knowing where a tool stops being trustworthy matters more than the cases where it works.
What figures does the RC Time Constant Calculator work from?
The formula is τ = R × C — ohms times farads gives seconds. 1 kΩ × 1 µF is exactly 1 ms. After one τ is 63.2% charged, which is 1 − 1/e. These are printed on the page itself, so you do not have to take them on trust.
How precise is the result?
The calculation runs in double precision and the result is shown to ten significant figures, so converting a value and converting it back returns the original. What is displayed is rounded for readability; what is copied is not.

Related calculators tools

All 382
01

Loan Calculator

Works out the monthly payment, total interest and full repayment schedule for any loan from…

02

EMI Calculator

Calculates your Equated Monthly Instalment with a full principal-versus-interest breakdown and…

03

Mortgage Calculator

Estimates a full monthly housing payment including principal, interest, property tax…

04

Car Loan Calculator

Calculates a car finance payment from the price, deposit, trade-in, interest rate and term…

05

Personal Loan Calculator

Works out instalments and total cost for an unsecured personal loan, including any processing…

09

SIP Calculator

Projects the maturity value of a monthly Systematic Investment Plan, showing invested amount…