Madeline Horn edited To_analyze_this_data_we__.tex  over 8 years ago

Commit id: a6d95755d2620fbff1250ea5779892c0fcd61a2d

deletions | additions      

       

\label{eq:ENBW}  ENBW = f_c (Pi \cdot Q / 2)  \end{equation}  The Q values came from the Noise Fundamental test data and are shown in Table 4. By using this equation, we found the Equivolent Noise Bandwith or $\Delta f$. After plotting $V^2/4TR$ versus Bandwidth ($\Delta f$), we were able to find the slope. Because of how we plotted the data, the slope is therefore K, the Boltlmann Constant. You can see these graphs in FIGURE WHAT. We did two different Boltmann experiments, one with a $10K$ ohm resistor and one with a $1K$ ohm resistor. Both values were obtained from the slope of FIGURES WHAT and both values were $1.46 \cdot 10^{-23} \textrm{ m}^2 \textrm{ kg} \textrm{ s}^{-2} \textrm{ K}^{-1}$. 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.