Op-Amp Gain & Filter Designer: GBW + Slew Rate Check Built-In

Op-Amp Gain / Filter Designer

Amplifier configs · active RC filters · GBW & slew-rate checks · response plot

Amplifier

Vout = −Rf × (V1/R1 + V2/R2 + V3/R3). Enter input voltages below to get Vout.

Active RC Filter

Design sanity checks: GBW & slew rate

Result

Choose a configuration or filter type and calculate to see gain, impedance, standard-value suggestions and a response plot

Ideal-op-amp relations for first-order design. Real devices add offset, bias current, noise and finite open-loop gain — verify against the datasheet and simulate before building.


Op-Amp Gain and Active Filter Designer: Amplifier Configs, Filters and Feasibility Checks

Getting the gain right on an op-amp circuit is only half the job – you also need to confirm your chosen op-amp can actually handle the frequency and signal swing, which is exactly where many designs go wrong. This tool covers four amplifier configurations (inverting, non-inverting, differential, summing) with standard E24 resistor matching, single-pole active RC filters (low-pass, high-pass, band-pass) with a response plot and then checks whether your op-amp’s Gain-Bandwidth Product (GBW) and slew rate are sufficient – all in one place instead of switching between three separate calculators.


How to Use

For Amplifiers:

  1. Select the configuration: Inverting, Non-Inverting, Differential or Summing.
  2. Enter the resistor values (Rin, Rf, or R1/R2) and optionally an input voltage to see output.
  3. Review the calculated gain, plus the nearest standard E24 resistor suggestion.

For Filters:

  1. Select filter type: Low-pass, High-pass or Band-pass.
  2. Choose Forward mode (enter R and C to find cutoff) or Reverse mode (enter target cutoff and capacitor to get R).
  3. View the cutoff frequency (or resistor) and the frequency response plot.

For Feasibility Checks:

  1. Enter your op-amp’s GBW (MHz) and slew rate (V/µs) from the datasheet.
  2. Enter your circuit’s gain, max signal frequency and peak voltage.
  3. The tool tells you if your op-amp has enough margin or if it will distort your signal.

Key Features

  • Four amplifier configurations: Inverting, Non-Inverting, Differential and Summing
  • Automatic nearest E24 standard resistor suggestion for every calculated resistor
  • Active RC filter design (Low-pass, High-pass, Band-pass) with forward and reverse modes
  • Visual frequency-response plot (log-scale) for the designed filter
  • GBW feasibility check – tells you if your op-amp handles your gain at your signal frequency
  • Slew rate feasibility check – flags distortion risk at your peak voltage and frequency
  • Shows exact margin (how many times over/under requirement) for both checks
  • Export as PDF or copy the result

Formula / Logic Used

Amplifier Gain

  • Inverting: Av=RfRinA_v = -\dfrac{R_f}{R_{in}}
  • Non-Inverting: Av=1+RfRinA_v = 1 + \dfrac{R_f}{R_{in}}
  • Differential (balanced): Av=R2R1A_v = \dfrac{R_2}{R_1}
  • Summing: Vout=Rf(V1R1+V2R2+)V_{out} = -R_f\left(\dfrac{V_1}{R_1} + \dfrac{V_2}{R_2} + \dots\right)

Active Filter Cutoff Frequencyfc=12πRCf_c = \frac{1}{2\pi R C}

For band-pass, two RC stages set the low and high corners, then:Center Frequency=flow×fhigh,Bandwidth=fhighflowCenter\ Frequency = \sqrt{f_{low} \times f_{high}}, \qquad Bandwidth = f_{high} – f_{low}

GBW Feasibility CheckRequired Frequency=Gain×Max Signal FrequencyRequired\ Frequency = Gain \times Max\ Signal\ Frequency

Feasible if the op-amp’s rated GBW ≥ this value; the tool shows the exact margin.

Slew Rate Feasibility CheckRequired Slew Rate (V/μs)=2π×fmax×Vpeak×106Required\ Slew\ Rate\ (V/\mu s) = 2\pi \times f_{max} \times V_{peak} \times 10^{-6}

Feasible if the op-amp’s rated slew rate ≥ this value.


Who Should Use This Tool

Diploma and B.Tech ECE students designing and analyzing op-amp amplifier and filter circuits. Also useful for hobbyists and engineers who want a quick gain + bandwidth + slew rate sanity check before building or simulating.


Frequently Asked Questions (FAQs)

1. How do I calculate the gain of an inverting op-amp amplifier?

Gain equals negative feedback resistor (Rf) divided by input resistor (Rin); the negative sign means the output is inverted. This tool calculates gain instantly and suggests the nearest standard E24 resistor values.

2. How do I calculate the cutoff frequency of an active RC filter?

Cutoff frequency equals 1 divided by (2π × R × C). This tool works both ways – enter R and C for cutoff or enter target cutoff and a capacitor value to get the required resistor.

3. Why does GBW matter for my op-amp circuit?

An op-amp’s Gain-Bandwidth Product is roughly constant, so higher gain reduces the maximum frequency it can accurately amplify. This tool checks if your gain × frequency stays within your specific op-amp’s rated GBW.

4. What happens if my op-amp’s slew rate is too low for my signal?

If the signal changes faster than the slew rate allows, the output gets distorted (slew-rate limiting), especially at larger amplitude and higher frequency. This tool calculates the required slew rate and compares it against your op-amp’s rating.

5. Differential vs summing amplifier – what’s the difference?

A differential amplifier amplifies the voltage difference between two inputs (useful for sensor signals), while a summing amplifier adds multiple input voltages, each scaled by its own resistor, into one output. Both are supported here with separate resistor and gain calculations.


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