Lucy Liang edited section_Conclusion_After_performing_the__.tex  over 8 years ago

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After performing the Johnson Noise Experiment and the Shot Noise Experiment, our results are fairly precise and accurate. We obtained a 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: $1.38064852 \cdot 10^{-23} \textrm{ m}^2 \textrm{ kg} \textrm{ s}^{-2} \textrm{ K}^{-1}$.   To further confirm the Boltzmann constant in the Johnson Noise experiment, we could vary the temperature or the resistance instead of varying bandwidth $\Delta f$. This would be another way to measure $k_B$. We might find a Boltzmann constant that is closer to the accepted value to help us assess the error in our experiment varying $Delta $\Delta  f$. Doing this experiment more times with different variations would also provide a more accurate 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 thing that we would improve on would be to take down error measurement for each data point in order to be able to calculate an uncertainty to better assess our result comparing to the accepted value.