惠斯通电桥的桥臂电阻在考虑测量精度下的选择

doi:10.14139/j.cnki.cn22-1228.2022.02.023

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摘要

影响惠斯通电桥精确度的主要因素有电桥的灵敏度和电阻箱的误差。为了简化问题，得到半定性半定量的、近似的理论结果，文章建立了电阻阻值误差的近似模型，结合已有的电桥灵敏度的理论公式，通过求误差极小值的方法，推导出测量精度最（极）大时桥臂电阻 R1、R2的理论值。此外，文章还对某些现实性的问题进行了较详细的分析和讨论。尽管文章所得到的结果具有一定的近似性，文章的研究思路、方法和结论，或可为惠斯通电桥实验提供理论上的指导，亦可为相关的理论性研究提供一些线索及参考。

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	徐佳琪
	邵云

关键词: 惠斯通电桥灵敏度电阻箱相对误差极小值桥臂电阻

Abstract:

The main factors affecting the accuracy of Wheatstone bridge are the sensitivity of Wheatstone bridge and the error of resistance box.In order to simplify the problem and obtain semi qualitative, semi quantitative and approximate theoretical results,an approximate model of resistance error is established. Combined with the existing theoretical formula of bridge sensitivity, the theoretical values of bridge arm resistance Rand R, when the measurement accuracy is the largest (extreme) are derived by calculating the error minimum.In addition,some practical problems are analyzed and discussed in detail.Although the results obtained are approximate. the research ideas. methods and concusions may not only provide theoretica guidance for Wheatstone bridge experiment,but also provide some clues and references for relevant theoretical research.

Key words: Wheatstone bridge sensitivity resistance box relative error minimum value bridge arm resistance

出版日期: 2022-04-25 发布日期: 2022-09-18 整期出版日期: 2022-04-25

ZTFLH:

O 4-34

引用本文:

徐佳琪, 邵云. 惠斯通电桥的桥臂电阻在考虑测量精度下的选择 [J]. 大学物理实验, 2022, 35(2): 106-111.
XU Jiaqi, SHAO Yun. Selection of Bridge Arm Resistance of Wheatstone Bridge Considering Measurement Accuracy . Physical Experiment of College, 2022, 35(2): 106-111.

链接本文:

http://dawushiyan.jlict.edu.cn/CN/10.14139/j.cnki.cn22-1228.2022.02.023 或 http://dawushiyan.jlict.edu.cn/CN/Y2022/V35/I2/106

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