Documentation sections

Op-Amp Gain & Bandwidth Calculator

POSThttps://rftools.io/api/py/v1/calculate

Slug opamp-gain. Calculate op-amp voltage gain, gain in dB, −3 dB bandwidth, and input impedance for inverting, non-inverting, and differential amplifier configurations.

Inputs

Send every one of these in inputs, in the units shown. Most are required: a call without one is refused (400) and costs nothing; one the calculator can do without takes the default shown. An input outside its range is still computed and flagged in the provenance.

Inputs of opamp-gain
Name	Unit	Range	Default	Description
configurationnumber	none	0 … 2	1	Amplifier ConfigurationOne of: 0 Inverting · 1 Non-inverting · 2 Differential
r1number	kΩ	0.001 … 10000	10	R1 (feedback resistor Rf)
r2number	kΩ	0.001 … 10000	1	R2 (input resistor Rin)
gbwProductnumber	MHz	0.001 … 10000	1	Op-amp gain-bandwidth product from datasheet. LM741=1MHz, TL071=3MHz, NE5534=10MHz
supplyVoltagenumber	V	1.8 … 60	15	Total supply: ±15V → enter 30V
eSeriesnumber	none	0 … 96	0	Rounds every part to the nearest value in the series; the response and the export are the rounded design's.One of: 0 Ideal values · 12 E12 (10%) · 24 E24 (5%) · 48 E48 (2%) · 96 E96 (1%)

Outputs

Returned in values, by key. A value that is unbounded or undefined is null.

Outputs of opamp-gain
Field	Unit	Description
gainheadline	V/V	Negative value indicates phase inversion (inverting configuration)
gainDb	dB	Gain above 60 dB may cause instability or oscillation
f3db_kHz	kHz	−3 dB Bandwidth
inputImpedance_kohm	kΩ	Non-inverting ≈ ∞ (shown as 1e9 kΩ); Inverting = Rin; Differential = 2×Rin
maxOutputVpp	Vpp	Typical maximum output swing ≈ 80% of total supply voltage

Calling it

Calculate: one call, the request and response in full, and its errors.
Batch: this calculator with others, or a sweep, in one request.
Solve for a target: the value of one input that brings an output to a target.

curl -X POST https://rftools.io/api/py/v1/calculate \
  -H "X-API-Key: $RFTOOLS_API_KEY" \
  -H "Content-Type: application/json" \
  -d '{
    "slug": "opamp-gain",
    "inputs": {
      "configuration": 1,
      "r1": 10,
      "r2": 1,
      "gbwProduct": 1,
      "supplyVoltage": 15,
      "eSeries": 0
    }
  }'

import rftools

client = rftools.Client()  # reads RFTOOLS_API_KEY, or the key `rftools login` saved

result = client.calculate("opamp-gain", {
    "configuration": 1,
    "r1": 10,
    "r2": 1,
    "gbwProduct": 1,
    "supplyVoltage": 15,
    "eSeries": 0,
})
print(result.values)
print(result.warnings, result.provenance.formula_ref)

const response = await fetch("https://rftools.io/api/py/v1/calculate", {
  method: "POST",
  headers: {
    "X-API-Key": process.env.RFTOOLS_API_KEY,
    "Content-Type": "application/json",
  },
  body: JSON.stringify({
    "slug": "opamp-gain",
    "inputs": {
      "configuration": 1,
      "r1": 10,
      "r2": 1,
      "gbwProduct": 1,
      "supplyVoltage": 15,
      "eSeries": 0
    }
  }),
});
console.log(response.status, await response.json());

package main

import (
	"bytes"
	"fmt"
	"io"
	"net/http"
	"os"
)

func main() {
	body := []byte(`{
	  "slug": "opamp-gain",
	  "inputs": {
	    "configuration": 1,
	    "r1": 10,
	    "r2": 1,
	    "gbwProduct": 1,
	    "supplyVoltage": 15,
	    "eSeries": 0
	  }
	}`)
	req, err := http.NewRequest("POST", "https://rftools.io/api/py/v1/calculate", bytes.NewReader(body))
	if err != nil {
		panic(err)
	}
	req.Header.Set("X-API-Key", os.Getenv("RFTOOLS_API_KEY"))
	req.Header.Set("Content-Type", "application/json")
	res, err := http.DefaultClient.Do(req)
	if err != nil {
		panic(err)
	}
	defer res.Body.Close()
	out, _ := io.ReadAll(res.Body)
	fmt.Println(res.Status, string(out))
}

application/json

{
  "slug": "opamp-gain",
  "values": {
    "gain": 11,
    "gainDb": 20.8278537031645,
    "f3db_kHz": 90.9090909090909,
    "inputImpedance_kohm": 1000000000,
    "maxOutputVpp": 12
  },
  "warnings": [],
  "errors": [],
  "provenance": {
    "method": "calculator:opamp-gain",
    "version": "api@3f2c1a9b04de",
    "formulaRef": "Horowitz & Hill, The Art of Electronics, 3rd ed.; Kester, ADI MT-033 (noise gain)",
    "assumptions": [],
    "validRange": {
      "status": "inside",
      "bounds": {
        "configuration": {
          "min": 0,
          "max": 2,
          "unit": ""
        },
        "r1": {
          "min": 0.001,
          "max": 10000,
          "unit": "kΩ"
        },
        "r2": {
          "min": 0.001,
          "max": 10000,
          "unit": "kΩ"
        },
        "gbwProduct": {
          "min": 0.001,
          "max": 10000,
          "unit": "MHz"
        },
        "supplyVoltage": {
          "min": 1.8,
          "max": 60,
          "unit": "V"
        },
        "eSeries": {
          "min": 0,
          "max": 96,
          "unit": ""
        }
      },
      "outside": [],
      "model": null
    },
    "computedAt": "2026-09-24T14:05:11.003Z",
    "inputs": {
      "configuration": 1,
      "r1": 10,
      "r2": 1,
      "gbwProduct": 1,
      "supplyVoltage": 15,
      "eSeries": 0
    },
    "seed": null,
    "elapsedSeconds": 0.003
  }
}

{
  "detail": [
    {
      "type": "float_parsing",
      "loc": [
        "body",
        "inputs",
        "configuration"
      ],
      "msg": "Input should be a valid number, unable to parse string as a number",
      "input": "abc"
    }
  ]
}

An input sent as text. Nothing was counted.

{
  "detail": "More than 120 requests in 60 seconds from this address.",
  "errorKind": "rate_limited",
  "limit": 120,
  "windowSeconds": 60,
  "upgradeUrl": "https://rftools.io/pricing/"
}

Too many requests in a minute, with Retry-After.

Same inputs on the calculator pageOp-Amp Gain & Bandwidth Calculator, at these values