this is for holding javascript data
Madeline Horn added To_analyze_this_data_we__.tex
over 8 years ago
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To analyze this data, we made a plot of resistance (ohms) versus $V^2$ so that we could analyze the slope. The equation used to understand why we did this is: $V^2 = 4 K T R \Delta f$, where K is the Boltzmann Constant we are looking for, T is the temperature in Kelvin, R is the resistance in ohms, and $\Delta f$ is the bandwidth that we varied by changing the values on the low and high pass filters. After plotting $V^2$ 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 the values of R and T because we kept them constant. After solving for K, we found the Boltzmann Constant for our data to be $1.908 * 10^{-23} \textrm{ m}^2 \textrm{ kg} \textrm{ s}^{-2} \textrm{ K}^{-1}$. This is close to the actual Boltzmann Constant, but we still need to subtract error in order to see if we got a better value.
