Resistor Noise Calculator

dB
dB

Electrical results can look precise while a unit, operating mode, or component assumption quietly changes the answer. Resistor Noise Calculator keeps the calculation tied to the quantities on this page, so you can trace the displayed thermal noise voltage back to the values you entered rather than treating it as a black-box number.

What this calculator does

The Resistor Noise Calculator turns Resistance (R), Temperature (T), Bandwidth (ΔF) into the page’s Thermal noise voltage using the circuit or component relationship below. Where the page shows supporting quantities, they come from the same idealized model so you can cross-check the headline rather than reading one isolated number.

How to use it

Start with the fields that actually drive this result: Resistance (R), Temperature (T), Bandwidth (ΔF). Keep units consistent with the menus beside the fields and avoid mixing values measured under different conditions. After calculating, change one input at a time if you are comparing scenarios; that makes cause-and-effect much easier to see.

How the calculation works

Johnson–Nyquist RMS noise voltage is En = √(4kBTRΔf). Thermal noise therefore rises with the square root of resistance, absolute temperature, and bandwidth rather than increasing linearly with each.

Example

Using the page’s default example (Resistance (R) = 1000 Ω; Temperature (T) = 300 °C; Bandwidth (ΔF) = 1000 Hz), the calculator reports Thermal noise voltage of 1.779122e-7 V. Change one driving input at a time and confirm the result moves in the direction predicted by the equation; that is a quick way to catch a unit or mode mistake.

How to interpret the result

The result is RMS thermal noise over the entered bandwidth, not a peak-to-peak guarantee or the total noise of an amplifier system.

Limitations and notes

Real components have tolerances, parasitics, temperature coefficients, finite bandwidth, losses, and safe-operating limits that ideal equations do not capture. Recheck units and the selected operating mode before relying on extra decimal places, and verify safety-critical or standards-driven designs independently. For the Resistor Noise case on this page, keep that check tied to the displayed inputs rather than carrying the same assumption over from a different calculator.

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