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Madeline Horn edited The_Q_values_came_from__.tex
over 8 years ago
Commit id: fd8e8e6866951cf6e4e5affdde8f8c2190ab7558
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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. 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.