半偏法测电压表内阻实验的定量误差分析  

Quantitative Error Analysis of Semi Bias Method for Measuring Internal Resistance of Voltmeters

作　　者：于永刚 马亚鹏[3] 张抗抗[4] YU Yonggang;MA Yapeng;ZHANG Kangkang(School of Education,Capital Normal University,Beijing 100048;Hebei Anguo Middle School,Baoding,Hebei 071200;Yinchuan No.9 Middle School,Yinchuan,Ningxia 750011;School of Physics and Electronics,Henan University,Kaifeng,Henan 475004)

机构地区：[1]首都师范大学教育学院,北京100048 [2]河北安国中学,河北保定071200 [3]银川市第九中学,宁夏银川750011 [4]河南大学物理与电子学院,河南开封475004

出　　处：《物理通报》2025年第3期122-126,共5页Physics Bulletin

基　　金：2021年河南省高等教育教学改革研究与实践重大项目(研究生教育)“第二轮‘双一流’建设背景下研究生导师队伍建设的研究与实践”,项目编号:2021SJGLX008Y。

摘　　要：半偏法测电压表内阻是中学物理的一个重要实验,但其误差分析由于过于复杂尚未找到精确的表达式.通过数学计算推演出误差的精确表达式,通过对误差表达式进行一级近似,推导出了误差的近似表达式,最后对误差的近似表达式进行了数值模拟检验,检验结果证明其具有较高的精度.The semi bias method for measuring the internal resistance of a voltmeter is an important experiment in middle school physics,but its error analysis has not yet found an accurate expression due to its complexity.The precise expression of the error was derived through mathematical calculations,and the approximate expression of the error was derived by first level approximation.Finally,the approximate expression of the error was numerically simulated and verified,and the results showed that it has high accuracy.

关 键 词：半偏法 半偏法测电阻 系统误差 误差分析 

分 类 号：G633.7[文化科学—教育学]