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Madeline Horn edited subsection_Method_for_Johnson_Noise__.tex
over 8 years ago
Commit id: c4e5d2bbaa9fac13e714177f126937eb5198e818
deletions | additions
diff --git a/subsection_Method_for_Johnson_Noise__.tex b/subsection_Method_for_Johnson_Noise__.tex
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--- a/subsection_Method_for_Johnson_Noise__.tex
+++ b/subsection_Method_for_Johnson_Noise__.tex
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Nyquist found theoretically that the ratio found in Equation \ref{eq:Equatoin}, to produce $k_B$ even 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 both a low pass and a high pass. 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 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 $<(V_J + V_{\textrm{other noise}})^2>$.