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Determination of Boltzmann constant by equipartition theorem for capacitors

Authors :
Mishonov, T. M.
Gourev, V. N.
Dimitrova, I. M.
Serafimov, N. S.
Stefanov, A. A.
Petkov, E. G.
Varonov, A. M.
Publication Year :
2017

Abstract

A new experimental set-up for Boltzmann constant measurement is described. Statistically averaged square of voltage $\left<U^2\right>$ is measured for different capacitances $C$. Boltzmann constant is determined by the equipartition theorem $C\left<U^2\right>=k_{_\mathrm{B}}T$. For fixed capacitance, voltages could be measured for different temperatures. The set-up consists of low-noise high frequency operational amplifiers ADA4898-2. An instrumental amplifier is followed by an inverting amplifier, square of the voltage is created by an analog multiplier AD633 and finally the averaged signal is measured by a multimeter.<br />Comment: 14 pages, 8 figures, 3 tables, 2 appendices

Subjects

Subjects :
Physics - Physics Education

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.1707.04482
Document Type :
Working Paper
Full Text :
https://doi.org/10.1088/1361-6404/ab07e0