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利用法拉第电解定律测定电子电荷

Determination of the Charge of Electron Using Faraday's Law of Electrolysis

Vladimir Ya. Kezerashvili, Roman Ya. Kezerashvili

arXiv 2609.28221首次发表:更新:

发表机构

New York City College of Technology, The City University of New York; The Graduate School and University Center, The City University of New York; Long Island University(纽约城市学院,纽约市立大学; 研究生及大学中心,纽约市立大学; 长岛大学)

机构由 AI 辅助整理,请以论文原文为准。

AI 中文总结

本文提出一种基于法拉第电解定律的简单实验,利用串联电解池测量沉积质量,从而测定电子电荷,适用于高中和大学教学实验室。

AI 中文摘要

我们提出一个基于法拉第电解定律测量电子电荷的简单实验,假设阿伏伽德罗常数为已知值。实验装置由串联的电解池组成,使得相同的电流通过每种电解质。通过测量电极上沉积的质量,并利用法拉第定律将其与通过电解液转移的总电荷联系起来,可以确定电子电荷。该实验仅需标准实验室设备,其操作和数据分析在大多数学习代数基础普通物理课程的学生技能和知识范围之内。因此,它特别适用于高中以及两年制和四年制学院的教学实验室。我们证明,学生可以通过简单的测量获得合理的电子电荷值,从而在法拉第定律、阿伏伽德罗常数和电子电荷之间建立直接的实验联系。

英文摘要

We propose a simple experiment for measuring the charge of the electron based on Faraday's law of electrolysis, assuming the known value of Avogadro's number. The experimental setup consists of electrolytic cells connected in series, so that the same electric current passes through each electrolyte. By measuring the mass deposited at the electrodes and relating it to the total electric charge transferred through the electrolyte using Faraday's law, the charge of the electron can be determined. The experiment requires only standard laboratory equipment, and its performance and analysis are within the skills and knowledge of most students taking algebra-based general physics courses. It is therefore particularly suitable for instructional laboratories in high schools and two- and four-year colleges. We demonstrate that students can obtain a reasonable value for the charge of the electron from simple measurements, providing a direct experimental connection between Faraday's law, Avogadro's number, and the electron charge.

论文原文

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