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电路基础

随到随学可随时自主学习
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课程介绍

This course is intended to introduce basic circuit theory and principles, establishing foundations for subsequent courses in the area electrical engineering (including electronic engineering, power engineering, computer engineering, information engineering, biomedical engineering, etc.). The course is based on Note Taking, and therefore a notebook is strongly recommended. The notes are mainly in English, while the presentation is mainly in Chinese.

The course is lectured by Prof. Yu Liu. The preparation of this course is also supported by Prof. Pinqiang Zhou, Prof. Chaofeng Ye and Prof. Xinbo Zou in the School of Information Science and Technology, ShanghaiTech Univeristy. During the finalization procedure, student Yuan Nie and Lihui Yi also provide valuable assistance. Their supports are greatly appreciated.

本课程旨在讲授基础电路理论与原理,为今后学习电子与电气信息类相关专业课程(包括电子、电气、计算机、通信、生物医学工程等)准备必要的电路知识。本课程主要基于板书,请同学们准备好笔记本。板书以英文为主,讲解以中文为主。

本课程主讲教师为刘宇教授。课程在准备过程中得到了上海科技大学信息学院周平强教授、叶朝锋教授以及邹新波教授的大力支持。同时,本课程在校验过程中也得到了2017级信息学院本科生聂源、2018级信息学院本科生乙立晖两位助教同学的帮助。在此向他们表示衷心的感谢!

课程大纲

1. Circuit Terminology and Kirchhoff's Laws
Current and voltage, power and energy, reference direction, basic circuit elements; ohm's laws, Kirchhoff's Laws, voltage/current division, Y-Delta transformation


2. Circuit Analysis

Nodal Analysis, Mesh Analysis


3. Circuit Theorem

Linear property, superposition theorem, Thevenin/Norton's equivalent circuit, source transformation


4. Operational Amplifiers

Practical/Ideal operational amplifiers, Inverting/Non-inverting amplifiers, summing/difference amplifiers


5. RC/RL First Order Circuits

Energy storage elements (capacitors and inductors), time domain solution of first order circuits (natural response, step response, response with any excitation)


6. Second Order Circuits

Time domain solution of second order circuits (natural response, step response, response with any excitation)


7. Phasors

Complex number, phasor representation of sinusoidal signals, relationship between phasor domain and time domain, assumptions of phasor domain methods


8. Sinusoidal Steady State Analysis

Impedance representation of resistors, inductors and capacitors; basic circuit laws, analysis and theorems


9. AC Power Calculation

Instantaneous power, real power, reactive power, apparant power, complex power, power factor


10. Transformers and three-phase circuits

Mutual inductance, magnetic coupled circuits, ideal transformers, three-phase circuits


11. Frequency Response

Transfer functions, Bode plots, Resonance


12. Filters

Low-pass filters, high-pass filters, band-pass filters, band-reject filters; passive/active filters


13. Laplace Transform

Basic properties of Laplace transform, inverse Laplace transform, application in solving integrodifferential equations, circuit analysis in Laplace domain, relationship among Laplace domain, phasor domain and time domain


1. 电路术语与基尔霍夫定律

电流与电压,功率与能量,参考方向,电路基本元件;欧姆定律,基尔霍夫定律,分压与分流,星三角变换等


2. 电路分析方法

节点电压法,网孔电流法


3. 电路定理

线性定理,叠加定理,戴维南、诺顿等效电路,电源等效变换


4. 运算放大器

实际/理想运算放大器,同相、反相放大器,加法放大器,差分放大器


5. RC/RL一阶电路时域分析

储能元件(电容与电感),一阶电路的自然响应、阶跃响应、一般激励源的响应


6. 二阶电路时域分析

二阶电路的自然响应、阶跃响应、一般激励源的响应


7. 相量法

复数,正弦信号的相量表示,相量域与时域的关系,相量法的假设


8. 正弦稳态电路分析

电阻、电感、电容的阻抗表示;相量域电路的基本定律、分析方法与定理


9. 交流电路功率计算

瞬时功率,有功功率,无功功率,视在功率,复功率,功率因数


10. 变压器与三相电路

互感,磁耦合电路,理想变压器,三相电路分析方法


11. 频率响应

传递函数,波特图,谐振


12. 滤波器

低通滤波器、高通滤波器、带通滤波器、带阻滤波器,无源、有源滤波器


13. 拉普拉斯变换

拉普拉斯变换的基本性质,拉普拉斯逆变换,拉普拉斯变换求解微积分方程,拉普拉斯域电路分析,拉普拉斯域、相量域、与时域的关系

教材教参

1. Charles K. Alexander and Matthew N. O. Sadiku, Fundamentals of Electric Circuits, 5th edition, McGraw Hill, 2012.  
2. James W. Nilsson and Susan Riedel, Electric Circuits, 9th edition, Prentice Hall, 2010.
3. 邱关源,罗先觉,《电路》,第五版,高等教育出版社,2006。