分压器电路中多种方法研究总电阻的变化规律  

作　　者：李国良 

机构地区：[1]兴义民族师范学院物理与工程技术学院,贵州兴义562400

出　　处：《科技创新与应用》2021年第23期80-82,共3页Technology Innovation and Application

基　　金：兴义民族师范学院教授基金项目资助(编号:17XYJS30)。

摘　　要：为了研究分压器电路中总电阻的变化规律,以滑动变阻器并联部分阻值y为研究变量,分别通过构造函数法、求导法以及单调函数法对总电阻R(y)的变化规律进行进一步研究,得到了总电阻的变化规律。结果表明,与以滑动变阻器串联部分阻值x为研究变量利用单调函数法求解较为简单相比,以滑动变阻器并联部分阻值y为研究变量,利用构造函数法和单调函数法求解都较为简单。可见,选择合适的研究变量和研究方法对于简化研究过程显得非常重要。In order to study the variation law of the total resistance in the voltage divider circuit,this paper takes the resistance value y of the parallel part of the sliding rheostat as the research variable,and the variation law of the total resistance R(y)is further studied by the construction function method,derivation method and monotone function method respectively,and the variation law of the total resistance is obtained.The results show that compared with using the monotone function method to solve the resistance value x of the series part of the sliding rheostat as the research variable,and taking the resistance value y of the parallel part of the sliding rheostat as the research variable,it is relatively simple to solve it by using the construction function method and the monotone function method.It can be seen that the selection of appropriate research variables and research methods is very important to simplify the research process.

关 键 词：并联部分阻值 构造函数法 求导法 单调函数法 

分 类 号：O441.1[理学—电磁学]