研究RLC串联电路的时间特性实现对示波器捕获时间校准  

Calibrating the Acquisition Time of Oscilloscope by the Time Characteristic of RLC Series Circuit

作　　者：刘丹[1] 忻静 邓莉[1] 张诗按[1] LIU Dan;XIN Jing;DENG Li;ZHANG Shian(School of Physics and Electronic Science,East China Normal University,Shanghai 200241,China)

机构地区：[1]华东师范大学物理与电子科学学院,上海200241

出　　处：《大学物理实验》2021年第2期5-9,共5页Physical Experiment of College

基　　金：华东师范大学教学改革与研究项目;华东师范大学双创课程建设项目;2020年度大学学堂优质师范课程建设项目。

摘　　要：当在RLC串联电路中输入正弦交流电时,改变电容大小,测量电容两端电压的变化,用Wolfram Mathematica 10.3进行数值模拟,理论上模拟出电容两端电压随电容变化的曲线。基于理论分析,提出了三点导致实验数据与理论曲线相差较大的假设,验证了三点假设的正确性。在此基础上,通过分析,知道实验数据与理论曲线的交点反映了示波器在该实验条件下、对该数据点的捕获状态,为研究RLC电路的时间特性和校准示波器捕获瞬时电压的能力提供有益的参考。When the sinusoidal alternating current is input into the RLC series circuit,the capacitance is changed to measure the change of the voltage at both ends of the capacitor.Wolfram Mathematica 10.3 is used to simulate the curve of the voltage at both ends of the capacitor with the change of the capacitance.Based on the theoretical analysis,the hypothesis that three points lead to a large difference between the experimental data and the theoretical curve is proposed,and the correctness of the three-point hypothesis is verified.On this basis,through the analysis,we know that the intersection of the experimental data and the theoretical curve reflects the acquisition state of the oscilloscope under the experimental conditions,which provides a useful reference for studying the time characteristics of RLC circuit and calibrating the ability of the oscilloscope to capture the instantaneous voltage.

关 键 词：RLC串联电路 过阻尼 示波器 捕获能力 

分 类 号：O4-34[理学—物理]