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Madeline Horn edited section_Conclusion_After_performing_the__.tex
over 8 years ago
Commit id: 78caef1b80ce36f609f0d41b365c07c98e4f8b40
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After performing the Johnson Noise Experiment and the Shot Noise Experiment, our measurements are very precise and accurate. We were able to get a Boltmann Contant 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 the Johnson Noise experiment, it would be helpful to vary the temperature and to vary the
$R_{in}$. $R_{in}$ and instead of varying bandwidth $\Delta f$, we could vary resistance $R$. This would just be another way to measure a slope of $k_B$. I believe doing this experiment more times with different variations would provide a more accurate spread of data.
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: $1.60217662 \cdot 10^{ -19} \textrm{ coulombs}$.