Johnson–Nyquist Noise Power Spectral Density

The Johnson–Nyquist noise is the electronic noise generated by the thermal agitation of the charge carriers (usually the electrons) inside an electrical conductor at equilibrium, which happens regardless of any applied voltage.

The Johnson-Nyquist noise power spectral density equals four times the product of the Boltzmann constant, the electric resistance and the temperature.

Formula

QuantityVariable[Subsuperscript[Overscript[Style["v", Italic], "_"], "n", "2"], "ElectricVoltageNoisePowerIntensity"] == Quantity[4, "BoltzmannConstant"]*QuantityVariable["R", "ElectricResistance"]*QuantityVariable["T", "Temperature"]

symbol	description	physical quantity
v̅_n²	Johnson–Nyquist noise power spectral density	"ElectricVoltageNoisePowerIntensity"
R	electric resistance	"ElectricResistance"
T	temperature	"Temperature"

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Get the resource:

In[1]:=

$ResourceObject["Johnson\[Dash]Nyquist Noise Power Spectral Density"]$

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Get the formula:

In[2]:=

$FormulaData[ ResourceObject["Johnson\[Dash]Nyquist Noise Power Spectral Density"]]$

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Use some values:

In[3]:=

$FormulaData[ ResourceObject[ "Johnson\[Dash]Nyquist Noise Power Spectral Density"], \ {QuantityVariable[Subsuperscript[ \!$\*OverscriptBox[ StyleBox["\<\"v\"\>", StripOnInput->False, FontSlant->Italic], \("_"$]\),"n","2"], "ElectricVoltageNoisePowerIntensity"] -> Quantity[100, ("Volts")^2/("Hertz")], QuantityVariable["R","ElectricResistance"] -> Quantity[100, "Ohms"]}]$

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Johnson–Nyquist Noise Power Spectral Density

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