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Lucy Liang added Tables_ref_table_True_Bandwidth1_and__1.tex
over 8 years ago
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Tables \ref{table:True_Bandwidth1} and \ref{table:True_Bandwidth2} (in the appendix) show the true bandwidth values from the Noise Fundamentals box and Q. By using Equation \ref{eq:ENBW}, we found the Equivolent Noise Bandwith or $\Delta f$. After plotting $V^2/4TR$ versus Bandwidth ($\Delta f$) for both $10K \Omega$ and $1K \Omega$, we were able to find the slope. The slope of Figure \ref{fig:JohnsonGraph}, which is $k_B$, the Boltlmann Constant.
Both $k_B$ values were obtained from the slope of Figure \ref{fig:JohnsonGraph} and are shown in Table \ref{table:Final_Johson}.
These values are close to the actual Boltzmann Constant ($1.38064852 \cdot 10^{-23} \textrm{ m}^2 \textrm{ kg} \textrm{ s}^{-2} \textrm{ K}^{-1}$) and the accuracy of this result is due to systematic error.