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Lucy Liang edited section_Experiment_on_Johnson_Noise__.tex
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\section{Experiment on Johnson Noise}
\subsection{Method for Johnson Noise}
Looking at Eq.\ref{eq:Equatoin}, Johson noise depends on resistance, equivalent bandwidth, and temperature. In our experiment for Johnson noise, we decided to vary the ENBW, $\Delta f$. The setup of our experiment is shown in Figure
\ref{fig:JohnsonSchem}.To \ref{fig:JohnsonSetUp}.To do this, we kept both resistance ($R$) and temperature($T$) constant, and only varied $\Delta f$, which is the settings for the high and low frequency filters.
%but did three different trials where each trial had a different $R$ value. The values for $R$ are as follows: $10 \textrm{ k}\Omega$, $1 \textrm{ k}\Omega$, and $1 \Omega$. As with any resistor, there is error in the measurement and Table \ref{table:True_Resistance}, shows the true, measured value of the resistance. You can perform the Johnson Noise experiment by varying resistance for a given bandwidth ($\Delta f$), but we chose to vary $\Delta f$ and keep resistance constant.