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Lucy Liang edited section_Conclusion_After_performing_the__.tex
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\section{Conclusion}
After performing the Johnson Noise Experiment and the Shot Noise Experiment, our
measurements results are
very fairly precise and accurate. We
were able to get obtained a
Boltmann Contant Boltzmann constant of $1.46 \pm0.0054 \cdot 10^{-23}\textrm{ m}^2 \textrm{ kg} \textrm{ s}^{-2} \textrm{ K}^{-1}$ and $1.46 \pm0.0052 \cdot 10^{-23} \textrm{ m}^2 \textrm{ kg} \textrm{ s}^{-2} \textrm{ K}^{-1}$ compared to the accepted value of the Boltzmann Consant: $1.38064852 \cdot 10^{-23} \textrm{ m}^2 \textrm{ kg} \textrm{ s}^{-2} \textrm{ K}^{-1}$.
If we were to redo To further confirm the Boltzmann constant in the Johnson Noise experiment,
it would be helpful to we could vary the temperature
and to vary or the
$R_{in}$ and resistance instead of varying bandwidth $\Delta
f$, we could vary resistance $R$. f$. This would
just be another way to measure
a slope of $k_B$.
I believe doing We might find a Boltzmann constant that is closer to the accepted value to help us assess the error in our experiment varying $Delta f$. Doing this experiment more times with different variations would
also provide a more accurate
spread of data. result.
We were able to find the charge of electron to be: $1.649 \pm 0.007 \cdot 10^{-19} \textrm{ Coulombs}$. This is less than $2.4 \%$ different from the accepted value of the charge of an electron: $1.60217662 \cdot 10^{ -19} \textrm{ coulombs}$. If we were to redo the Shot Noise experiment, the
only thing that we would
change improve on would be to take down error measurement for each data point in order to
have much be able to calculate an uncertainty to better
error results. As it is now, we do not have a great idea on the error in assess our
apparatus as we neglected result comparing to
take any error measurements. the accepted value.
Accepted values from: \href{http://physics.nist.gov/cgi-bin/cuu/Value?e}{NIST value with uncertainty}.