this is for holding javascript data
Madeline Horn edited To_analyze_this_data_we__.tex
over 8 years ago
Commit id: ec7478590d1059c3058ca783ef958b7d1987bdc9
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diff --git a/To_analyze_this_data_we__.tex b/To_analyze_this_data_we__.tex
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...
\label{eq:boltzmann}
V^2 = 4 K T R \Delta f
\end{equation}
where K is the Boltzmann Constant we are looking for, T is the temperature in Kelvin, R is the resistance in ohms, and $\Delta f$ is the ``equivalent noise bandwidth'' (ENBW) that we varied by changing the values on the low and high pass filters.
\textbf{This would be a good place In order to
point out} that find the $k_B$, I will be plotting the
reason data in order to find the slope is that it is proportional to $k_B$ or, if you prefer,
you can create a plot where the slope is equal to $k_B T \Delta
f$. f$, than solve for $k_B$. Personally, we found it easier to plot the data so that the slope was proportional to $k_B4.
In order to find the bandwidth, we had to use values that came from the Noise Fundamentals Test Data (Table 2), which gave us the measured values from the filters. You can see the values we used in Table 2, and as you can see, the measured values are different from the nominal values. After using the measured values from the Noise Fundamentals test data, we had to calculate the Equivolent Noise Bandwidth (ENBW) in order to find $\Delta f$. To do this, we used an equation:
%\begin{equation}