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Noise in circuits

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Thermal Johnson noise and shot noise limit measurements.

Thermal (Johnson) noise V² = 4kTRΔf and shot noise limit the smallest detectable signals. Cooling and narrow bandwidth reduce them.

Worked example

1 MΩ at 300 K, 10 kHz: 13 μV rms.

Common mistake

Amplifiers add their own noise.

In more detail

Electrical noise is random fluctuation in current or voltage, arising from thermal motion and quantum effects. Thermal noise in a resistor is proportional to its temperature and resistance.

Real-world uses

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Frequently asked questions

What causes thermal noise?

Random thermal motion of electrons in a resistor, also called Johnson noise.

Can noise be eliminated?

It can be reduced by cooling and careful design, but not fully removed.

What causes thermal noise?

The random thermal motion of electrons in any resistor, which creates a small fluctuating voltage even with no current.

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