A new experimental set-up for Boltzmann constant measurement is described. Statistically averaged square of voltage ⟨U2⟩ is measured for different capacitances C. Boltzmann constant is determined by the equipartition theorem C⟨U2⟩=kBT. 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.
@article{arxiv.1707.04482,
title = {Determination of Boltzmann constant by equipartition theorem for capacitors},
author = {T. M. Mishonov and V. N. Gourev and I. M. Dimitrova and N. S. Serafimov and A. A. Stefanov and E. G. Petkov and A. M. Varonov},
journal= {arXiv preprint arXiv:1707.04482},
year = {2019}
}