Practical differentiator
Practical differentiator with circuit equations and operating-limit checks.
Development preview. Check the assumptions below before relying on a result. Calculations run in your browser.
How it calculates
Transfer: H(s) = −s Rf Cin / [(1+s Rin Cin)(1+s Rf Cf)]
Peak: fpeak = 1/[2π√(Rin Cin Rf Cf)]
Assumptions
- Input is a series Rin–Cin branch to the inverting node; Rf is shunted by Cf. Ideal differentiating law applies below both limiting poles. The gain-bandwidth warning is a conservative screening estimate, not a phase-margin calculation.
Worked example
These are the calculator's default inputs. Change any input above to recalculate.
Inputs
- Input series resistor
- 1000 Ω
- Input series capacitor
- 1e-8 F
- Feedback resistor
- 100000 Ω
- Feedback shunt capacitor
- 1e-10 F
- Op-amp GBW
- 10000000 Hz
- Input ramp slope
- 100 V/s
Results
- Differentiating ramp output
- -0.1 V
- Input limiting pole
- 15915.5 Hz
- Feedback limiting pole
- 15915.5 Hz
- Peak frequency
- 15915.5 Hz
- Peak signal gain
- 50