Madeline Horn edited section_Experiment_on_Johnson_Noise__.tex  over 8 years ago

Commit id: 78405f0803c34f17915884d40fc0cb106e9733b9

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Nyquist found theoretically that the ratio found in Equation \ref{eq:Equatoin} to produces $k_B$ if you change $R$ just as long as you don't change $T$ or $\Delta f$. That means the slope should also remain constant.   Because we want to keep the $R$ the same, we decided to vary $\Delta f$, so we needed to have a set-up where there was were  both a low pass and a high pass. pass filters.  This way, we could vary $\Delta f$ with 36 different settings. We also used two amplifiers in order to amplify the desired signal. Those values were: $X600$ for the first gain and $X1000$ for the second gain. We also squared the signal (an amplifier of AxA) in order to measure the voltage as: $<(V_J + V_{\textrm{other noise}})^2>$. As seen in equation \ref{eq:NyquistPredictionForJohnsonNoise2}, we will be measuring the $<(V_J + V_{\textrm{other noise}})^2>$.