this is for holding javascript data
Lucy Liang edited Error_analysis_Johnson_Noise_The__.tex
over 8 years ago
Commit id: 710d5365819273920939744c830b81be7bcb9c1e
deletions | additions
diff --git a/Error_analysis_Johnson_Noise_The__.tex b/Error_analysis_Johnson_Noise_The__.tex
index 2819554..8f09529 100644
--- a/Error_analysis_Johnson_Noise_The__.tex
+++ b/Error_analysis_Johnson_Noise_The__.tex
...
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? $\Delta{f}$? $V^2$?