电路分析的公理化与教学实践  

The Axiomation and Teaching of Circuit Analysis

作　　者：甘良志[1] 胡福年[1] 

机构地区：[1]徐州师范大学电气工程及自动化学院,江苏徐州221116

出　　处：《电气电子教学学报》2009年第4期53-54,59,共3页Journal of Electrical and Electronic Education

摘　　要：本文通过与欧氏几何公理系统的对比,对电路分析进行了公理化。电路分析公理系统以电荷为基本研究元素,以基尔霍夫定律作为唯一的公设。所有描述电路规律的定理能够通过基尔霍夫定律推导得到。所有计算电路电压和电流的方法也能够通过基尔霍夫定律得到。公理化后的电路分析概念更加清晰,结构更加明了,有利于学生兴趣的培养。Compared with the axiomatic system of Euclid＇s geometry, this paper axiomate the circuit analysis. In the axiomatic circuit analysis, electrical charge is the element and Kirchhoff＇s law is the only axiom. All the theorems that describe the law of a circuit can be derived from the Kirchhoff＇s law and all the methods that are used to solve the voltage or current of a circuit can be get too. In the axiomated circuit system the concepts are clear, and the structure is simple. This system may incite the students＇ interest to study the circuit analysis.

关 键 词：公理化方法 欧氏几何学 电路分析 

分 类 号：TN702[电子电信—电路与系统]