Wolfram Computation Meets Knowledge

Wolfram Formula Repository (Under Development)

Johnson–Nyquist Noise Voltage

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 voltage equals two times the square root of the product of the Boltzmann constant, the electric resistance, the frequency bandwidth and the temperature.

Formula

QuantityVariable[Subscript["V", "n"], "ElectricPotential"] == 2*Sqrt[Quantity[1, "BoltzmannConstant"]*QuantityVariable["R", "ElectricResistance"]*QuantityVariable["T", "Temperature"]*QuantityVariable["Δ​f", "Frequency"]]

symbol description physical quantity
Vn Johnson–Nyquist noise voltage "ElectricPotential"
R electric resistance "ElectricResistance"
T temperature "Temperature"
Δ​f frequency bandwidth "Frequency"

Forms

Examples

Get the resource:

In[1]:=
ResourceObject["Johnson\[Dash]Nyquist Noise Voltage"]
Out[1]=

Get the formula:

In[2]:=
FormulaData[ResourceObject["Johnson\[Dash]Nyquist Noise Voltage"]]
Out[2]=

Use some values:

In[3]:=
FormulaData[ ResourceObject[ "Johnson\[Dash]Nyquist Noise Voltage"], {QuantityVariable[ "T","Temperature"] -> Quantity[293, "Kelvins"]}]
Out[3]=

Source Metadata

  • Creator:
  • Date: 1926

Publisher Information