Lucy Liang edited Error_analysis_Johnson_Noise_The__.tex  over 8 years ago

Commit id: 710d5365819273920939744c830b81be7bcb9c1e

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The discrepancy between our result ($1.46 \times 10^-23 \text{m2 kg s-2 K-1}$) and the accepted Boltzmann constant ($1.38 \times 10^-23 \text{m2 kg s-2 K-1}$)is approximately 5.8\% . Both sets of data we obtained (with a $1K\Omega$ resister and a $10K\Omega$) gave a consistent value for the Boltzmann constant which is a matter of accuracy rather than precision, so this error is most likely a systematic error.  T? Assuming that our thermometer is accurate (for room temperature), the temperature within the instrument, where the resister is, may be higher. As we can see in Eq.~ \ref{eq:boltzmann}, with a higher T, $\textrm{T}$,  we would have a lower K_B $\textrm{K}_\textrm{B}$  value which is opposite to what our value is, so this is unlikely what is causing the error. R? $\Delta{f}$? $V^2$?