deletions | additions       diff --git a/To_analyze_this_data_we__.tex b/To_analyze_this_data_we__.tex  index 0d4135a..3c4bcf6 100644  --- a/To_analyze_this_data_we__.tex  +++ b/To_analyze_this_data_we__.tex 
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\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 2. By using this equation, we found the Equivolent Noise Bandwith or $\Delta f$. After plotting $V^2$ $V^2/4TR$  versus Bandwidth ($\Delta f$), we were able to find the slope. Because of how we plotted the data, the slope is therefore: $4 K R T$ and we know 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 R FIGURES WHAT  and T because we kept them constant. After solving for K, we found the Boltzmann Constant for our data to be $1.908 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 ($1.38064852 \cdot 10^{-23} \textrm{ m}^2 \textrm{ kg} \textrm{ s}^{-2} \textrm{ K}^{-1}$), but we still need to subtract the instrument noise from K}^{-1}$) and  the total noise in order accuracy of this result is due  to see if we got a more accurate value. systematic error.