Madeline Horn edited subsection_Johnson_Noise_Johnson_noise__.tex  over 8 years ago

Commit id: 93bcd02c66cafc43c08564cf5bb53c653ea42e2c

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V_{\textrm{Johnson noise, RMS}} = \sqrt{} = \sqrt{(4 R \Delta f) (k_B T) }  \end{equation}  where R is the resistance of the resistor, $\delta $\Delta  f$ is the equivalent noise bandwidth (ENBW), $k_B$ is the Boltzmann constant (what we are hoping to reproduce), $T$ is the temperature of the room, and $\sqrt{}$ is the measured voltage from the preamp. The ENBW is what we use to represent the frequencies we use in order to vary the ac voltage that is generated from the random fluctuations of electrons within the resistor. We will be measuring the $\sqrt{}$, the $\delta $\Delta  f$, the $T$, and the $R$ in order to find the $k_B$.