Physics

Resistor Noise Calculator

Find the thermal (Johnson) noise voltage of a resistor.

Parameters Live Compute
Calculated Output
Noise voltage (µV) 1.82
Formula: V_n = √(4·k·T·R·B)
Step-by-Step Breakdown
1. Values used:
2. Resistance = 10,000 Ω
3. Temperature = 300 K
4. Bandwidth = 20,000 Hz
5.
6. Noise voltage = 1.82µV
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Every resistor generates tiny random noise from the thermal motion of electrons.

The math behind it

V_n = √(4·k·T·R·B), the Johnson–Nyquist noise over a bandwidth B.

Worked Example

10 kΩ at 300 K over 20 kHz → about 1.8 µV.

Frequently Asked Questions

How to reduce it?

Lower the resistance, temperature or bandwidth.

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