Determination of the Boltzmann constant by the equipartition theorem for capacitors

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creativework.keywordsBoltzmann constant, equipartition theorem, voltage thermal fluctuations of a capacitor
creativework.publisherInstitute of Physicsen
dc.contributor.authorMishonov T.M.
dc.contributor.authorGourev V.N.
dc.contributor.authorDimitrova I.M.
dc.contributor.authorSerafimov N.S.
dc.contributor.authorStefanov A.A.
dc.contributor.authorPetkov E.G.
dc.contributor.authorVaronov A.M.
dc.date.accessioned2024-07-10T14:27:04Z
dc.date.accessioned2024-07-10T14:49:07Z
dc.date.available2024-07-10T14:27:04Z
dc.date.available2024-07-10T14:49:07Z
dc.date.issued2019-04-08
dc.description.abstractA new experimental set-up for measurement of the Boltzmann constant is described. The statistically averaged square of voltage U2 is measured for different capacitances C. The Boltzmann constant is determined by the equipartition theorem C U2 k T = . For fixed capacitance, voltages could be measured for different temperatures. The set-up consists of low-noise, highfrequency operational amplifiers ADA4898-2. An instrumental amplifier is followed by an inverting amplifier, the square of the voltage is created by an analog multiplier AD633, and finally, the averaged signal is measured by a multimeter. More than ten high-school students were able to measure the Boltzmann constant with the experimental set-up in the 5th Experimental Physics Olympiad with excellent accuracy compared to the price, conditions and available time for the experiment. A new derivation of the important statistical physics theorems by Nyquist and Callen-Welton is given in an appendix at the level of introductory courses in physics studied by future teachers. To understand the work of the experimental set-up, it is only necessary to know the equipartition theorem.
dc.identifier.doi10.1088/1361-6404/ab07e0
dc.identifier.issn1361-6404
dc.identifier.issn0143-0807
dc.identifier.scopusSCOPUS_ID:85067097643en
dc.identifier.urihttps://rlib.uctm.edu/handle/123456789/534
dc.language.isoen
dc.source.urihttps://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85067097643&origin=inward
dc.titleDetermination of the Boltzmann constant by the equipartition theorem for capacitors
dc.typeArticle
oaire.citation.issue3
oaire.citation.volume40
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