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Main Authors: Peng, Zitong, Zheng, Jie, Yue, Xiaokai
Format: Preprint
Published: 2026
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Online Access:https://arxiv.org/abs/2603.15056
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author Peng, Zitong
Zheng, Jie
Yue, Xiaokai
author_facet Peng, Zitong
Zheng, Jie
Yue, Xiaokai
contents We present a low-cost experimental setup to measure the Boltzmann constant (kB) and the elementary charge (e) through thermal and shot noise, achieving relative accuracies of up to 1%. The system utilizes a cost-effective ADC module integrated with a carefully selected low-noise audio operational amplifier, resulting in a simple and compact circuit design that better satisfies experimental requirements. Furthermore, the approach employs a dual-channel sampling method to measure cross-correlation noise, thereby significantly reducing the uncorrelated background noise of the device and improving the signal-to-noise ratio. The noise measurement methodology offers an intuitive demonstration of microscopic fluctuations, making it a valuable teaching tool. In addition, the experimental setup employs standard electronic components, is low cost and robust, making it well-suited for widespread adoption in university and even high school laboratories.
format Preprint
id arxiv_https___arxiv_org_abs_2603_15056
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Low-cost cross-correlation noise setup for measuring the Boltzmann constant and the elementary charge
Peng, Zitong
Zheng, Jie
Yue, Xiaokai
Physics Education
We present a low-cost experimental setup to measure the Boltzmann constant (kB) and the elementary charge (e) through thermal and shot noise, achieving relative accuracies of up to 1%. The system utilizes a cost-effective ADC module integrated with a carefully selected low-noise audio operational amplifier, resulting in a simple and compact circuit design that better satisfies experimental requirements. Furthermore, the approach employs a dual-channel sampling method to measure cross-correlation noise, thereby significantly reducing the uncorrelated background noise of the device and improving the signal-to-noise ratio. The noise measurement methodology offers an intuitive demonstration of microscopic fluctuations, making it a valuable teaching tool. In addition, the experimental setup employs standard electronic components, is low cost and robust, making it well-suited for widespread adoption in university and even high school laboratories.
title Low-cost cross-correlation noise setup for measuring the Boltzmann constant and the elementary charge
topic Physics Education
url https://arxiv.org/abs/2603.15056