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本文将五五年内刊短文三篇合写成一篇,考虑其理论价值(及/或其历史意义)而在这里正式地发表一下。第一部分是对结点电位方程式的证明或理解。设电路中各电势和各结点电位皆不存在,然后分别单独地将它们加入,并用重叠原理求电流,从而写出常规的结点电位方程式。第二部分证明库伦场保守性。作者认为,静电场、重力场等库伦场内的场力环积分为零这一关系,所谓保守性,必须首先证明,然后再推出位函数单值性。可是不少人是用位函数单值性去说明库伦场的保守性,实为倒果为因。本文首次提出库伦场保守性的严格证明,所依据的理论基础是库伦定律和重叠原理。第三部分是Peterson—Pfiefner确定无畸变长线终端反射波的法则的推广,从而获得在无畸变长线网络中确定发出波、反射波和透出波的一般法则。其主要关键是多端网络概念的引用以及重叠原理的应用。
This article will be five or five years of the essay three articles written together, considering its theoretical value (and / or its historical significance) and here officially published. The first part is the proof or understanding of the node potential equation. Let the electric potential in the circuit and each node electric potential nonexistent, and then add them separately separately, and use the overlapping principle to ask the electric current, thus write out the conventional knot electric potential equation. The second part proves that the Coulomb field is conservative. The author believes that the static electric field, gravity field and other fields within the field strength ring integral zero to the so-called conservative, we must first prove, and then the introduction of a single value of the bit function. However, many people use bit functions to describe the uniqueness of the field of Coulomb’s conservation, in fact, the result of the fall. This paper presents for the first time the strict proof of the Coulomb field conservation based on the Coulomb law and the principle of overlap. The third part is the generalization of the law of Peterson-Pfiefner to determine the undistorted long-line terminal reflected wave, so as to obtain the general rule of determining the outgoing wave, the reflected wave and the outgoing wave in the undistorted long-line network. The main key is the concept of multi-terminal network and the application of overlap principle.