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\subsubsection{Johnson noise for the $10k \Omega$ Resistor}  Refer to electronics setup photo Fig.~\ref{fig:JohnsonSetUp} for the set up of our apparatus. Our settings for the Noise Fundamentals devices were as follows: for the $10\textrm{k}\Omega$ $R_{in} = 10\textrm{k}\Omega$  resistor, we used a Gain 1 ($G1$) of $\times600$ for all values that comes directly from the Noise Fundamental device, a Gain 2 ($G2$) of $\times1000$ for all values, we used a measured value for room temperature of $295$ degrees Kelvin, and we varied the high and low pass filters' frequency ($\Delta f$) for each data set in order to vary the bandwidth. In Table \ref{table:Johnson1}, you can see how we varied the low pass filter ($f2$) and the high pass filter ($f1$) in order to change the bandwidth. The values are taken from the multi-meter after going through the filters, gain, and multiplier. All of the values are in mV; we took $36$ sets of data points. You can see all these values in Table \ref{table:Johnson1}