Madeline Horn edited subsection_Method_for_Johnson_Noise__.tex  over 8 years ago

Commit id: 664bb14c0adb7dd62cb272e21e2d73d01bdbf747

deletions | additions      

       

\subsection{Method for Johnson Noise}  \textbf{Experimental Setup and Measurement - refer to theory on PLAN}  To get the best measurement of Johnson Noise, we wanted to vary the $R_{in}$ from $10 \textrm{ k}\Omega$, $1 \textrm{ k}\Omega$ and $1 \Omega$. This is important because if our apparatus and measurements are correct, all of the different $R_{in}$ should generate the same value for the Johnson Noise, $k_B$. The $10 \textrm{ k}\Omega$ and $1 \textrm{ k}\Omega$ were used to calculate the $k_B$ while the $1 \Omega$ measurement was used as an error source that needed to be subtracted. As with all electronics, there is some innate error associated with the device, in order to subtract this, we took data with the $1 \Omega$ resistor.  As seen in equation \ref{eq:NyquistPredictionForJohnsonNoise2}, we will be measuring the $<(V_J + V_{\textrm{other noise}})^2>$.