Resistor Noise Calculator

Formula

The formula to calculate the Resistor Noise Voltage (NV) is:

\[ NV = \sqrt{4 \times k \times T \times R \times B} \]

Where:

\(NV\) is the noise voltage (nV/√Hz)
\(k\) is the Boltzmann constant (1.380649e-23 J/K)
\(T\) is the absolute temperature (Kelvin)
\(R\) is the resistance (ohms)
\(B\) is the bandwidth (Hz)

What is Resistor Noise Voltage?

Resistor noise voltage, also known as thermal noise or Johnson-Nyquist noise, is the electrical noise generated by the thermal agitation of charge carriers (usually electrons) inside an electrical conductor at equilibrium, which happens without any applied voltage. It is a fundamental noise that depends on the temperature and resistance of the material and is present in all resistors.

Example Calculation

Let's assume the following values:

Absolute Temperature (T) = 300 K
Resistance (R) = 1000 ohms
Bandwidth (B) = 1000 Hz

Using the formula to calculate the Resistor Noise Voltage (NV):

\[ NV = \sqrt{4 \times 1.380649e-23 \times 300 \times 1000 \times 1000} \approx 1.28 \times 10^{-8} \text{ nV/√Hz} \]

The Resistor Noise Voltage (NV) is approximately 1.28 × 10^-8 nV/√Hz.