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Inverting Op-Amp Active Low-Pass Filter Calculator

Active low-pass filters utilizing operational amplifiers combine frequency-selective RC networks with buffered voltage gain, eliminating output loading impedance issues.

Input series resistor setting input impedance.

Feedback resistor setting passband voltage gain.

Capacitor in parallel with R₂ setting high-frequency roll-off.

Frequency of input signal to evaluate.

Calculated Result
1061 Hz

Cutoff Frequency (f_c, -3 dB)

Cutoff Frequency (-3dB Corner)

1061 Hz (1.06 kHz)

DC Passband Gain

-10 V/V (20 dB)

Gain at Test Frequency (1000 Hz)

17.24 dB

Phase Shift

-223.3°

Calculation Breakdown

  1. Passband DC Midband Voltage Gain|A_v0| = R₂ / R₁ = 100 kΩ / 10 kΩ = 10 (20 dB)
  2. Corner Cutoff Frequency Formulationf_c = 1 / (2π × R₂ × C₁) = 1 / (2π × 100000 Ω × 1.5000000000000002e-9 F) = 1061 Hz
  3. Frequency Response at Input Signal|H(1000 Hz)| = 17.24 dB with phase shift of -223.3°

Active Filter Bode Response Profile

Interactive visualization based on your current inputs

Value
-22.39.84274106Cutoff fc (Hz / 10)DC Gain (dB)Gain @ 1kHz (dB)Phase Shift (° / 10)ParameterValue

What Is the Inverting Op-Amp Active Low-Pass Filter Calculator?

The Inverting Op-Amp Active Low-Pass Filter Calculator models frequency response, corner frequencies, and amplification for active analog filter circuits.

How Does the Inverting Op-Amp Active Low-Pass Filter Calculator Work?

It computes DC inverting gain from the resistor ratio and determines the pole location set by the feedback parallel RC combination.

Inverting Op-Amp Active Low-Pass Filter Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

A_{v0} = -\frac{R_2}{R_1}, \quad f_c = \frac{1}{2 \pi R_2 C_1}, \quad |H(f)| = \frac{|A_{v0}|}{\sqrt{1 + (f/f_c)^2}}

Complex frequency s-domain impedance ratio Z_f(s) / Z_in(s) for feedback-stabilized operational amplifiers.

How to Use the Inverting Op-Amp Active Low-Pass Filter Calculator

  1. Specify input resistor R₁ and feedback resistor R₂ in kΩ.
  2. Enter feedback capacitor C₁ in nanofarads.
  3. Input operating evaluation frequency in Hz.

Step-by-Step Example Calculation

1 kHz Audio Anti-Aliasing Active Filter

Input Values:

inputResistorR1KOhms:10
feedbackResistorR2KOhms:100
feedbackCapacitorC1Nf:1.5
inputSignalFrequencyHz:1000
Worked Steps: Delivers a DC gain of 10.0 V/V (20 dB) with a 1,061 Hz (-3dB) cutoff frequency and 17.1 dB gain at 1 kHz.

Understanding Your Result

Cutoff Frequency: Corner frequency where signal power drops by 50% (-3 dB).

DC Voltage Gain: Low-frequency amplification factor in linear V/V and decibels.

Gain at Test Frequency: Actual output level at the specified operating point.

Factors That Affect the Result

  • Larger feedback capacitors push the cutoff frequency lower into the audio/sub-audible spectrum.
  • Higher R₂ values increase passband gain but narrow open-loop bandwidth.

When Should You Use This Calculator?

  • Sensor signal conditioning, ADC anti-aliasing filters, audio tone shaping, and biomedical ECG instrumentation.

Assumptions & Limitations

  • Assumes ideal op-amp behavior within the device Gain-Bandwidth Product (GBWP) and slew rate limits.

Frequently Asked Questions

Calculation Accuracy & Reference Note

Based on Franco Design with Operational Amplifiers and Analog Integrated Circuits.

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