Nathanael A. Fortune edited The_Q_values_came_from__.tex  over 8 years ago

Commit id: db964f21db7b30db4c819391eed552762ae23ffa

deletions | additions      

       

The Q values came from the Noise Fundamental test data and are shown in Table 4. By using this Equation 2, we found the Equivolent Noise Bandwith or $\Delta f$. After plotting $V^2/4TR$ versus Bandwidth ($\Delta f$) for both $10K$ ohms and $1K$ ohms, we were able to find the slope. The slope of Figure 1 is K, the Boltlmann Constant. Both K values were obtained from the slope of Figure 1 and both values were $1.46 \cdot 10^{-23} \textrm{ m}^2 \textrm{ kg} \textrm{ s}^{-2} \textrm{ K}^{-1} \pm2.5 \cdot 10^{-21} \textrm{ m}^2 \textrm{ kg} \textrm{ s}^{-2} \textrm{ K}^{-1}$ and $1.46 \cdot 10^{-23} \textrm{ m}^2 \textrm{ kg} \textrm{ s}^{-2} \textrm{ K}^{-1} \pm2.6 \cdot 10^{-21} \textrm{ m}^2 \textrm{ kg} \textrm{ s}^{-2} \textrm{ K}^{-1}$. Where the first value listed was the 1K ohm resistor and the second value was the 10K ohm resistor. \textbf{THIS PREVIOUS SENTENCE IS VERY DIFFICULT TO FOLLOW. TRY PUTTING IN TABLE FORM. ALSO, CHECK THE VALUES YOU HAVE USED FOR YOUR UNCERTAINTIES. YOU ARE SAYING THE UNCERTAINTY IS 100 TIMES LARGER THAN THE VALUE (!?) IS THAT WHAT YOU MEAN TO SAY? }  This is close to the actual Boltzmann Constant ($1.38064852 \cdot 10^{-23} \textrm{ m}^2 \textrm{ kg} \textrm{ s}^{-2} \textrm{ K}^{-1}$) and the accuracy of this result is due to systematic error.