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Lucy Liang edited Error_analysis_Johnson_Noise_Our__.tex
over 8 years ago
Commit id: 302ae3f1973a7d288803efb9d8864c915974fd27
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Error analysis(Johnson Noise)
Our The discrepancy between our result
for the Boltzmann constant ($1.46 \times 10^-23 \text{m2 kg s-2 K-1}$)
is approximately 5.8\% higher than and the accepted
value Boltzmann constant ($1.38 \times 10^-23 \text{m2 kg s-2
K-1}$).Both 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, constant which is a matter of accuracy rather than precision, so this error is most likely a systematic
error rather than a random 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, we would have a lower K_B value which is opposite to what our value is, so this is unlikely what is causing the error.