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Madeline Horn edited In_order_to_find_k_B__.tex
over 8 years ago
Commit id: 9e36ab0a66a500cc63d3bb502c19f4ec7e465d58
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diff --git a/In_order_to_find_k_B__.tex b/In_order_to_find_k_B__.tex
index a16988e..6b5a5bd 100644
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where $k_B$ 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.
In order to find the bandwidth, we had to use values that came from the Noise Fundamentals Test Data (\href{http://media4.physics.indiana.edu/~courses/p451/background_info/TeachSpin_Manual_Noise_Fundamentals.pdf}{TeachSpin Manual 7.3}) (\ref{table:Johnson2}), which gave us the actual measured values from the different filters and amplifiers. You can see the values we used in \ref{table:Johnson2}, and as you can see, the measured values (from
Noise Fundamentals Test Data) \href{http://media4.physics.indiana.edu/~courses/p451/background_info/TeachSpin_Manual_Noise_Fundamentals.pdf}{TeachSpin Manual 7.3}) are different from the nominal values (values given on the apparatus). 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}
\label{eq:ENBW}