电路分析原理

本书为配合北京大学信息科学技术学院本科生主干基础课、北京市精品课程“电路分析原理”课堂教学而编写。 为了使学生们在学习和选择参考书时减少困惑，本书力图体现如下特点： 阐述更清楚、更简明、更容易理解和掌握； 以简明、条理清晰、渐进并辅以渊源介绍的方式说明和强调基本概念、基本方法和基本定理； 配合双语教学，书中的标题和一些必要的名词、术语、概念、原理均辅以英文，各章练习题以中英文双语书写； 习题三星分级，辅以自学自测及参考答案。 本书可作为高等学校电类基础课“电路分析”或“电路基础”的教材，并可供其他相关人员参考使用。

目录

Contents

引子——人类认识电的历史History

第1章线性电路分析基础Introduction & Basic Analysis of Linear Circuit

1.1线性电路基本概述/Basic Introduction to Linear Circuit

1.1.1基本单位/Units and Scales

1.1.2集总假设及集总电路模型/Lumped?Parameter Circuit

1.1.3基本元件、变量和参考方向/Basic Components、Parameters and

Reference Direction

1.1.4基本定律/Basic Laws

1.2常见电路元件模型及其约束方程/Circuit Elements and Element

Constraints

1.2.1元件的分类/Kinds of Components

1.2.2电阻元件/Resistor

1.2.3理想独立电压源与理想独立电流源/Independent Sources

1.2.4电容元件/Capacitor

1.2.5电感元件/Inductor

1.2.6理想受控源/Controlled Source or Dependent Source

1.3典型源信号和响应信号/Basic Signals and Functions

1.4线性二端(单口)网络的等效/Equivalence of One?Port Network

1.4.1等效的定义/Definition of Equivalence

1.4.2电阻电路的等效/Equivalence of Resistive Circuits

1.4.3具有初始储能(初始值)的动态元件的等效/Equivalence of

Dynamic Elements

1.4.4源电路的等效/Equivalence of Sources

总结与回顾Summary and Review

学生研讨题选Topics of Discussion

练习与习题Exercises and Problems

第2章线性电路的时域分析Basic Analysis of Linear Circuit in

Time?domain

2.1动态电路的暂态过程和起始状态/Introduction of Transient Analysis

2.1.1静态电路与动态电路/Static and Dynamic Circuit

2.1.2静态电路分析/Resistive Circuit

2.1.3动态电路的换路、起始状态和暂态过程/Switch and Initial State

2.2一阶动态电路分析/Analysis of First?Order Circuit

2.3动态电路的零状态响应/Zero State Response

2.3.1复指数信号及正弦信号激励的零状态响应/Sinusoidal Excitation

2.3.2单位阶跃响应s(t)和单位冲激响应h(t)/Unit?Step Response and

Unit?Impulse Response

2.3.3任意信号激励的零状态响应/Arbitrary Excitation

2.4二阶及高阶动态电路分析/Second?Order Circuits

and High?Order Circuits

2.4.1响应的求解/Functions and Solutions

2.4.2电路的稳定性分析/Stability Analysis

总结与回顾Summary and Review

学生研讨题选Topics of Discussion

附录A一元 n次常系数微分方程的求解

A.1一阶线性常系数微分方程的求解/First Order

A.2n阶微分方程的求解/nrd Order

练习与习题Exercises and Problems

第3章正弦稳态电路分析Sinusoidal Steady?State Analysis

3.1正弦稳态电路分析/Sinusoidal Steady?State Analysis

3.1.1正弦信号的复数表示——相量/Phasor

3.1.2电路中的复数表示——相量模型/Phasor Model in Circuit

3.1.3正弦稳态电路分析/Sinusoidal Steady?State Analysis

3.2正弦稳态功率/Powers

3.3网络函数与频率响应/Network Functions and

Frequency Responses

3.4滤波器/Filter

3.4.1一阶滤波器/First?Order Filter(Low?Pass,High?Pass)

3.4.2二阶滤波器/Second?Order Filter(Band Pass,Band Stop)

总结与回顾Summary and Review

学生研讨题选Topics of Discussion

练习与习题Exercises and Problems

第4章电路的变换域分析——拉普拉斯变换Laplace Transform

4.1拉普拉斯变换/Laplace Transform

4.1.1变换域分析/Transform Analysis

4.1.2拉氏变换定义/Definition of the Laplace Transform

4.1.3拉氏变换的基本性质/Basic Theorems for the Laplace Transform

4.1.4拉氏反变换/Inverse Laplace Transform

4.2线性电路的s域求解/Circuit Analysis in the s?Domain

4.2.1元件的s?域模型/Elements in the s?Domain

4.2.2定律的s域形式/Laws in the s?Domain

4.2.3线性电路的s域求解/Circuit Analysis in the s?Domain

4.3网络函数的s域描述/Network Function in the s?Domain

4.3.1定义/Definition

4.3.2网络函数的特性/Characteristic Analysis

总结与回顾Summary and Review

学生研讨题选Topics of Discussion

练习与习题Exercises and Problems

第5章信号的变换域分析——傅里叶变换Fourier Analysis

5.1傅里叶级数/The Fourier Series

5.1.1周期信号的傅氏级数表示/Three Forms of the Fourier Series

5.1.2周期信号的对称性与傅氏级数之间的关系/Symmetry of Fourier Series

5.1.3常见周期信号的傅氏级数/Some Useful Fourier Series

5.1.4周期信号的平均功率和有效值/Average Power and Effective

Values of Periodic Functions

5.1.5周期信号作用于线性电路的稳态响应/Steady?State Responses

5.2傅氏变换： 非周期信号的频谱分析/Fourier Transform

5.2.1从傅氏级数到傅氏变换/From Fourier Series to Transform

5.2.2傅里叶变换与反变换/Some Useful Fourier Transform Pairs

5.2.3傅氏变换的基本性质与定理/Basic Theorems of the Fourier Transform

5.2.4傅氏变换与拉氏变换/Fourier Transform and Laplace Transform

5.3信号通过常参量线性电路/Signal Forcing in Linear Circuits

5.3.1信号通过电路的波形失真/Wave Distortion

5.3.2电路的因果律与理想滤波器/Causality and Ideal Filter

*5.4采样定理/Sampling Theorem

总结与回顾Summary and Review

学生研讨题选Topics of Discussion

练习与习题Exercises and Problems

第6章网络的拓扑分析Network Topology Analysis——Mesh and

Nodal Analysis

6.1支路电流法 / Branch Current Analysis

6.2网络拓扑分析的基本知识/An Introduction to Network Topology

6.2.1图论分析中的名词/Some Definitions in Network Topology Analysis

6.2.2基本公式与推论/Formula and Conclusions

6.3网孔电流法与回路电流法/Mesh Current Analysis and Loop

Current Analysis

6.3.1回路电流法/Loop Current Analysis

6.3.2网孔电流法/Mesh Current Analysis

6.3.3含电流源支路的处理/Solution Involving Current Sources

6.4节点分析法/Nodal Analysis

6.4.1节点电压法/Nodal Voltage Analysis

6.4.2含电压源支路的处理/Solution Involving Voltage Sources

*6.5大网络拓扑分析/Topology Analysis

6.5.1节点分析/General Nodal Analysis

6.5.2回路分析/Loop Analysis

总结与回顾Summary and Review

学生研讨题选Topics of Discussion

练习与习题Exercises and Problems

第7章网络定理Theorems in Circuit Analysis

7.1存在和唯一性/Existence and Uniqueness

7.2置换定理/Substitution Theorem

7.3叠加定理/Superposition Theorem

7.4戴维南定理和诺顿定理/Thévenin?s Theorem and Norton?s Theorem

7.5互易定理/Reciprocity Theorem

7.6特勒根定理/Tellegen?s Theorem

总结与回顾Summary and Review

学生研讨题选Topics of Discussion

练习与习题Exercises and Problems

第8章双口网络分析Two?Port Network Analysis

8.1双口网络参量概述/Introduction

8.1.1双口网络参量及其相互转换/Parameters Transformation Between

Two?Port Network

8.1.2双口网络参量与网络连接/Two?Port Network Connections

8.2Z参量和Y参量/Z and Y Parameters

8.2.1Z参量的定义/Z Parameters

8.2.2T形等效电路/T?type Equivalent Circuit

8.2.3Y参量的定义/Y Parameters

8.2.4π形等效电路/π?type Equivalent Circuit

8.3混合参量/Hybrid Parameters

8.3.1H参量的定义/H Parameters

8.3.2G参量的定义/G Parameters

8.3.3等效电路/ Equivalent Circuit

8.4传输参量/Transmission Parameters

8.5有端接的双口网络/Two?Port Network with Input and Output

8.5.1网络函数/Network Functions

8.5.2阻抗变换和阻抗匹配/Impedance Transform and Impedance Matching

*8.6有源双口网络/Active Two?Port Network

总结与回顾Summary and Review

学生研讨题选Topics of Discussion

练习与习题Exercises and Problems

第9章均匀无耗传输线The Uniform Lossless Transmission Line

9.1分布参数电路/Distributed Parameter Circuit

9.2传输线方程/Transmission Line Equations

9.2.1传输线的分布参数模型/Circuit Model

9.2.2传输线方程/Line Equations

9.2.3传播常数、入射波和反射波/Propagation Constant，Incident

Wave and Reflected Wave

9.2.4特性阻抗与无限长传输线/Characteristic Impedance and

Infinite?Length Line

9.2.5双口网络等效/Two?Port Network Equivalence

9.3均匀无耗传输线上的波动/Wave on Lossless Line

9.3.1双口网络方程/Two?Port Network Equation

9.3.2电压和电流反射系数/Reflection Coefficient

9.3.3终端负载与反射波/Load and Reflected Wave

9.3.4终端负载与阻抗匹配/Load and Impedance Matching

9.4均匀无耗传输线的阶跃响应/Step Response

*9.5微波双口网络的散射参量/Scattering Parameters

总结与回顾Summary and Review

学生研讨题选Topics of Discussion

练习与习题Exercises and Problems

第10章非线性电路分析简介Nonlinear Circuit Analysis

10.1非线性电路的分析方法/Introduction to Nonlinear Circuit Analysis

10.1.1解析法/Analytical Method

10.1.2图解法/Graphical Method

10.1.3折线法/Piecewise?linear Technique

10.2非线性器件的双口网络分析/Two?Port Network of

Nonlinear Devices

10.2.1三极管的小信号模型/Small?Signal Model of Transistor

10.2.2运算放大器/Operational Amplifer

总结与回顾Summary and Review

学生研讨题选Topics of Discussion

练习与习题Exercises and Problems

中英文索引

英中文索引

参考文献