利用电阻器演示误差传播

IF 0.8 4区教育学 Q3 EDUCATION, SCIENTIFIC DISCIPLINES

American Journal of Physics Pub Date : 2024-03-01 DOI:10.1119/5.0145005

K. Gan

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引用次数: 0

摘要

我们介绍了一个简单的实验，通过测量印刷电路板（PCB）上的电阻来证明误差传播的概念。我们设计了一种连接印刷电路板上电阻器的方法，可以相对快速地测量 200 对电阻器，从而证明单个电阻器的测量分布以及总电阻器的测量分布都是高斯分布，正如中心极限定理所预期的那样。该测量演示了单个不确定度如何传播到总不确定度。该实验是为物理系学生开设的统计学实验课程的一部分，强调统计学在数据分析中的应用。

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Demonstration of the propagation of errors using resistors

We present a simple experiment to demonstrate the concept of propagation of errors by measuring resistors on printed circuit boards (PCBs). We devise a method for connecting the resistors on a PCB that allows a relatively quick measurement of 200 resistor pairs to show that the distributions of the measurement of individual resistances, as well as the total resistance, are Gaussian-distributed, as expected from the central limit theorem. The measurement demonstrates how individual uncertainties propagate to the total uncertainty. The experiment is part of a laboratory course on statistics for physics students that emphasizes the application of statistics in data analysis.

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来源期刊

American Journal of Physics 物理-物理：综合

CiteScore

1.80

自引率

11.10%

发文量

146

审稿时长

3 months

期刊介绍： The mission of the American Journal of Physics (AJP) is to publish articles on the educational and cultural aspects of physics that are useful, interesting, and accessible to a diverse audience of physics students, educators, and researchers. Our audience generally reads outside their specialties to broaden their understanding of physics and to expand and enhance their pedagogical toolkits at the undergraduate and graduate levels.