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Resistor Johnson Noise Calculator — result sheet
Estimate ideal Johnson–Nyquist voltage and current noise for a resistor over a selected bandwidth.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: vₙ = √(4kTRB); voltage density = √(4kTR).
The ideal thermal-noise model uses absolute temperature, resistance, and measurement bandwidth to report RMS voltage and equivalent current noise.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Resistance — Ω; minimum 1.0E-6; maximum 1000000000
- Resistor temperature — °C; minimum -273.149; maximum 100000
- Noise bandwidth — Hz; minimum 1.0E-6; maximum 1000000000000
Worked example
| Input | Value |
|---|---|
| Resistance | 100 |
| Resistor temperature | 25 |
| Noise bandwidth | 1000 |
Ideal RMS voltage noise is about 40.7 nV and voltage density is about 1.29 nV/√Hz.
Assumptions and limits
- The resistor is in thermal equilibrium at the entered temperature and the bandwidth is an equivalent rectangular noise bandwidth.
- The model includes Johnson–Nyquist noise only; excess, shot, flicker, amplifier, wiring, and measurement-chain noise are not included.
- The result is a small-signal noise estimate, not a prediction of a particular instrument’s measured spectrum.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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