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Practical integrator calculator

Explore a leaky op-amp integrator, its transition frequency and AC gain.

Configure

Ω

Input resistance

F

Feedback capacitance

Ω

DC feedback resistance
Advanced inputs

Hz

Frequency to inspect

Results update as you type.

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Results

Pole frequency15.92 Hz
Frequency response
dB-40159.15 mHz-1015.92 Hz201.59 kHz
Gain
Gain at selected frequency0.16 V/V
Gain-15.96 dB
Phase90.91 °
Advanced results
DC gain-10 V/V

How practical integrator works

R1 feeds the inverting node. C1 integrates the input above the feedback corner, while R2 in parallel with C1 provides a finite DC gain and a discharge path. This prevents the unlimited drift of an ideal capacitor-only integrator.

H(s)=−R2/R11+sR2C1H(s)=\frac{-R_2/R_1}{1+sR_2C_1}

Ideal op-amp equations with ±15 V supplies. The simulated generic op amp has finite bandwidth and output limits. Keep signal levels within its linear range.

Change the form inputs or click a component value on the schematic. Choose Try in CircuitSim to simulate the configured circuit.