Op-Amp Integrator & Differentiator Calculator
RC time constant, unity-gain frequency, gain at any frequency and ramp rate — with the stability fixes every real circuit needs.
Neither works “pure” in practice: an ideal integrator has infinite DC gain, so input offset integrates to the rail within seconds — add a large reset resistor across C. The pure differentiator amplifies HF noise and oscillates — a small series input resistor caps the gain. These fixes are the actual textbook circuits.
Integrator & Differentiator Calculator computes RC time constant, gain-vs-frequency and ramp rate of op-amp integrators/differentiators — free, instant and private in your browser. Function-generator, PID and waveform-shaping builders use it to skip the datasheet algebra: type your numbers, read the answer with the substituted formula shown step by step, and share an exact permalink of the calculation.
About Op-Amp Integrator & Differentiator Calculator
Integrator & Differentiator Calculator computes RC time constant, gain-vs-frequency and ramp rate of op-amp integrators/differentiators using the standard engineering relation: integrator |G| = 1/(2πfRC), ramps at Vin/RC; differentiator |G| = 2πfRC. Worked live: 10 kΩ/100 nF integrates a 1 V DC input into a −1 V/ms ramp; unity gain falls at 159 Hz. The result recalculates on every keystroke, the worked-example panel shows your numbers substituted into the formula, and the Copy permalink button encodes the inputs in the URL so a colleague opens exactly your calculation. Everything runs client-side — nothing you type leaves your device.
How to use Op-Amp Integrator & Differentiator Calculator
- 1Enter your values — the tool starts with realistic defaults for this exact use case, so the worked example is meaningful immediately.
- 2Read the live result and the worked-example panel, which substitutes your numbers into the formula step by step.
- 3Adjust any input to compare scenarios, then use Copy result or Copy permalink to share the calculation.
Why use Op-Amp Integrator & Differentiator Calculator?
- ✓Implements the real formula — integrator |G| = 1/(2πfRC), ramps at Vin/RC — with the substitution shown, not a black box
- ✓Built for function-generator, PID and waveform-shaping builders
- ✓Copy result and permalink buttons — share the exact calculation in a README, forum answer or design review
- ✓100% free, no sign-up, runs entirely in your browser (works offline once loaded)
Frequently asked questions
How do you calculate integrator & differentiator?+
RC time constant, gain-vs-frequency and ramp rate of op-amp integrators/differentiators follows integrator |G| = 1/(2πfRC), ramps at Vin/RC; differentiator |G| = 2πfRC. For example, 10 kΩ/100 nF integrates a 1 V DC input into a −1 V/ms ramp; unity gain falls at 159 Hz. The calculator applies the same relation and shows the substituted arithmetic so you can verify every step.
Why does my integrator drift to the rail in seconds?+
An ideal integrator has infinite DC gain, so even microvolts of input offset integrate without limit. The textbook fix is a large resistor (10–100× R) across C — it turns DC behaviour into a finite-gain low-pass and the circuit stays put.
Why does the pure differentiator oscillate or hiss?+
Its gain rises with frequency forever — amplifying noise and eventually meeting the op-amp's phase shift to ring or oscillate. A small resistor in series with C caps the high-frequency gain; every practical differentiator includes it.
Is the Integrator & Differentiator Calculator free and private?+
Yes — completely free with no sign-up or usage limits, and it runs entirely in your browser: the values you enter are never uploaded or stored on a server.
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