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Op-amp Error Budget Calculator

Estimate DC output-referred error from Vos, Ib, Ios and feedback resistors (RSS or worst-case).

Instant result
Result
—

Enter values to calculate.

Inputs—
Mode—
Formula—
Trust summary CVP VERIFIED · CVP protocol 1.0.0-proposed · Engineering assurance
Input interpretation
Enter values to calculate.
Result
—
Assurance
Engineering
Declared partition coverage
PASS · 3/3 declared partitions (rss, worst_case, invalid-domain) · Matrix
Known limitations
  • DC error terms only — noise / AC excluded
  • Core CVP does not include live graph, viewport, or pointer interaction.
Model
DC op-amp output-referred error budget from Vos/Ib/Ios and Rf/Rg.
Scope
Ideal closed-loop DC; matched simplified Ib path
Verification
Engine tested · Source checked · v1.0.0 · CVP VERIFIED · CVP protocol 1.0.0-proposed · Engineering assurance· View Manifest · CVP overview · Specification
Versions
Calculation 1.0.0 · CVP protocol 1.0.0-proposed
CVP identity
2/2 property · digest 4786d5b81e3b
Legacy regression
7/7 tests · Production surface contract 4/4
Reference
O1 model · O2 expected_values · O2 numerical_behavior
Interfaces
PASS · UI (SSR) / REST / MCP — ui-ssr is query-result HTML, not a live browser session.
Supplemental domain review
Internal · Pass · electrical-engineer
Named expert review
Not performed
CVP suite
2/2 golden · 3/3 CVP boundary · 2/2 invalid · 2/2 property · 1/1 cross-interface · 1/1 CVP contract · Manifest
Sources
  • Analog Devices / TI op-amp error budget app notes — Vos, Ib, Ios DC errors
  • Horowitz & Hill — The Art of Electronics — Op-amp DC errors and feedback
Sources
Evidence
2 legacy golden · 3 legacy boundary · legacy regression suite · 2/2 oracle-backed golden · 2/2 invalid · Artifact integrity PASS · CalculatorX electrical review
This calculator CURRENT · Public schema 1.0.0 matches · Semantic contract ✓ · Production attested · Public/cache ✓ · Origin ✓
Semantic contract
PASS
Full verification

Manifest identity, reference classes, interfaces, suite, and production records.

Formulas

Core equations used by this calculator.

Gain|G| = 1 + Rf/Rg (non-inv)
Output errorVout_err = rss/worst(e_vos, e_ib, e_ios)
iFirst-order DC model. Not noise, CMRR, PSRR, or drift vs temperature.

How to use

1

Choose non-inverting or inverting, and RSS vs worst-case

Gain magnitude and error combining depend on these modes.

2

Enter Vos and feedback resistors Rf, Rg

All must be valid; |G| = 1 + Rf/Rg (non-inv) or Rf/Rg (inv).

3

Optional: enter Ib and Ios

Bias/offset currents add input-referred error terms when provided.

Example calculations

Common configurations with formula and result.

ϟ

Vos=1 mV · Rf=10k · Rg=1k

Ib=100 nA · Ios=20 nA · RSS

G=11
Vout_err ≈ 1.105e-2 V

Op-amp Error Budget calculator specification

Version 1.0.0 · Engine tested · Supplemental domain review · Internal · 2026-08-08

Calculation status

Review policy · Evidence · Reviewed by CalculatorX electrical review (electrical-engineer)

Definition
Simple DC error model: |G|=1+Rf/Rg (non-inv) or Rf/Rg (inv); e_vos=|Vos|·|G|; e_ib≈|Ib|·Rf; e_ios≈|Ios|·Rf; combine RSS or worst-case.
What it calculates
DC op-amp output-referred error budget from Vos/Ib/Ios and Rf/Rg.
Inputs
  • Vos_V, Rf_ohm, Rg_ohm
  • optional Ib_A, Ios_A
  • mode noninv|inv
  • combine rss|worst_case
Outputs
  • Vout_err
  • Vin_err
  • G_abs
  • e_vos
  • e_ib
  • e_ios
Formula
e_vos=|Vos|·|G|; combine RSS/WCA
Assumptions
  • Ideal closed-loop DC; matched simplified Ib path
  • Ib and Ios terms use Rf as the dominant resistance scale
Units
  • V, A, Ω
Boundary conditions
  • Bad mode/combine → INVALID_MODE
  • Rf/Rg ≤0 → VALUE_MUST_BE_POSITIVE
Example
Vos=1mV, Rf/Rg=10 → e_vos=11mV
Validation cases

1 published on this page · 7/7 tests · Production surface contract 4/4 · View evidence

  • Vos=1mV,Rf=10k,Rg=1k → G=11, Vout_err≈0.011047171583713182
Sources
  • Analog Devices / TI op-amp error budget app notes — Vos, Ib, Ios DC errors
    Supports: Closed-loop referred offset model
  • Horowitz & Hill — The Art of Electronics — Op-amp DC errors and feedback
    Supports: Vos / bias-current referred-error pedagogy
Last reviewed
2026-08-08
Reviewed by
CalculatorX electrical review (electrical-engineer)
Calculation version
1.0.0

Background

Interpretation and common distinctions.

Estimate an op-amp DC error budget.

Default: Vos=1 mV · Rf=10 kΩ · Rg=1 kΩ · RSS → Vout_err ≈ 1.10e-2 V.

Agent / API notes

Capability id: electrical.opamp.error_budget · tool id: opamp-error-budget · pin 1.0.0.

Other calculators in this family: ADC Error Budget Calculator, ADC SNR / Quantization Calculator, Op-Amp Gain Calculator, Op-amp Noise Calculator . Explore all Analog & Data Conversion.

→ ADC Error Budget Calculator Combine ADC gain, offset, INL, and DNL errors (RSS or worst-case) into total LSB, volts, and %FS. Runs locally in your browser. › → ADC SNR / Quantization Calculator Ideal quantization SNR ≈ 6.02·N + 1.76 dB for a full-scale sine; reverse measured SINAD to ENOB. Runs locally in your browser. › → Op-Amp Gain Calculator Closed-loop gain for non-inverting (1+Rf/Rg) and inverting (−Rf/Rg) op-amp circuits. Runs locally in your browser. › → Op-amp Noise Calculator Estimate flat-band output noise from en, optional in, gain, and bandwidth. Runs locally in your browser. ›
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Frequently asked questions

Key distinctions behind the calculation.

Is this a full error budget?

No — v1 covers Vos/Ib/Ios DC terms only. Add noise and tempco separately for production design.