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R_(1)、R_(2)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。
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 resistanceR_(1)and R_(2)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 conclusions may not only provide theoretical guidance for Wheatstone bridge experiment,but also provide some clues and references for relevant theoretical research.
作者
徐佳琪
邵云
XU Jiaqi;SHAO Yun(School of Electronic Engineering,Nanjing Xiaozhuang College,Nanjing 211171,China)
出处
《大学物理实验》
2022年第2期106-111,共6页
Physical Experiment of College
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
Wheatstone bridge
sensitivity
resistance box
relative error
minimum value
bridge arm resistance
