Lucy Liang edited section_Conclusion_After_performing_the__.tex  over 8 years ago

Commit id: ff425516dba91121f646210124127c13fbbcc0a3

deletions | additions      

       

\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 wouldjust  be another way to measurea 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, theonly  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}.