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John Bertrand Johnson was an electrical engineer whose 1928 measurements established the thermal electrical fluctuations now called Johnson-Nyquist noise. He detected random voltage fluctuations in conductors through a vacuum-tube amplifier and a thermocouple, and related the measured effect to temperature, electrical resistance and the measurement system's frequency response.^[ref]

This reveals why the average voltage alone is not enough to characterize a fluctuating signal. Its expected value can vanish while its mean-square value is positive. The fluctuations become an experimentally measurable noise floor in sensitive electronics, and their temperature dependence connects circuit measurements with the Boltzmann constant.^[ref]

Thermal electrical noise is the fluctuating electric potential difference or electric current produced by thermal fluctuations in a dissipative electrical circuit, even without an applied voltage. A resistor at thermal equilibrium is both a source of noise and a sink for electrical energy. Its electrical resistance describes the dissipation, and its absolute temperature sets the scale of the fluctuations. This connects a practical limit on signal-to-noise ratio to statistical mechanics: a warm, unbiased resistor is not electrically silent.

John Bertrand Johnson measured the effect using a vacuum-tube amplifier and thermocouple; his 1928 paper reported agreement with the Boltzmann constant. Harry Nyquist's companion paper calculated the effect from thermodynamics and statistical mechanics.^[ref][ref]