方波激励下的一阶RC 响应的简捷解析
收稿日期: 2019-05-16
修回日期: 2019-09-18
网络出版日期: 2020-04-20
基金资助
华东师范大学课程建设项目(40400-19202-511232 / 112)资助
A short-cut analysis of the first order RC response under square wave excitation
Received date: 2019-05-16
Revised date: 2019-09-18
Online published: 2020-04-20
赵 强, 孙殿平, 张文倩, 郭超修 . 方波激励下的一阶RC 响应的简捷解析[J]. 大学物理, 2020 , 39(04) : 34 -36 . DOI: 10.16854 / j.cnki.1000-0712.190222
When a square wave voltage u with the period T,the amplitude Um and the duty ratio δ is used as the excitation,it is deduced explicitly by a simple method that the values of the response,uc,the voltage across the capacitor,on the rising edge and falling edge will converge monotonically and continuously to Um(1-A1 )A2 / (1-A1 A2)and Um(1-A1 )/ (1-A1 A2 ),respectively (where A1 = e-Tδ / (RC),A2 = e-T(1-δ)/ (RC)).Moreover,the relationships among the parameters are also discussed. The results are not only useful for understanding and analyzing the experimental phenomena of the first-order RC transient process under square wave excitation,but also helpful for improving the experimental design.
Key words: first-order RC circuit; transient process; experimental teaching
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