内接一任意负载的n 阶T 形网络的电特性
收稿日期: 2018-09-12
修回日期: 2018-11-03
网络出版日期: 2019-07-02
基金资助
国家级大学生创新创业训练计划项目( 201810304025) ; 江苏省自然科学资金面上项目( No.BK20161278) 资助
Electrical characteristics of n ladder resistor network with an external load
Received date: 2018-09-12
Revised date: 2018-11-03
Online published: 2019-07-02
谭志中, 赵嘉诚, 丁鲁钰, 张庆华 . 内接一任意负载的n 阶T 形网络的电特性[J]. 大学物理, 2019 , 38(6) : 20 . DOI: 10.16854 /j.cnki.1000-0712.180507
with.Using the voltage parameter to construct a recursion model, this paper studies electrical characteristics,
including the node voltage,branch current and equivalent resistor etc.,a type of the complex n-order ladder shaped
resistor network,which has an external load on an arbitrary node and a random resistor on the right boundary.By
means of the network analysis, this paper establishes the difference equation model of the voltage,and the equation
model of the boundary compatible with the constraint conditions.After then,explicit expressions of the common solution
and the particular solution are derived, from which the formulae of voltages of arbitrary nodes,branch currents,
and the equivalent resistors are also obtained.All the formulae obtained here have multi-functions and universality,
and many special cases.
/
| 〈 |
|
〉 |