电阻式触摸屏
电阻器
平面的
惠斯通大桥
矩形
数学
网络分析
电流(流体)
几何学
数学分析
拓扑(电路)
电压
法学
计算机科学
电气工程
组合数学
工程类
计算机图形学(图像)
政治学
出处
期刊:The physics educator
[World Scientific]
日期:2023-09-01
卷期号:05 (03)
标识
DOI:10.1142/s2661339523500117
摘要
An intuitive geometric method of circuit analysis is introduced through the example of the Wheatstone bridge. In this method, a resistor is expressed as a rectangle whose (horizontal) width and (vertical) height represent the current passing through and the potential difference across the resistor, respectively. Remarkably, Kirchhoff’s current and voltage laws for a connected planar resistive network with an ideal voltage source are simply expressed as the width and height conservation of the relevant rectangles in a mosaic of rectangles, respectively, where the laws are automatically satisfied, and sufficient to obtain a complete solution. These geometric Kirchhoff’s laws convert the solving of the resistive network into a mathematical game. Moreover, the geometric equivalence of the horizontal and vertical directions immediately generates the solution to the network dual to a connected planar resistive network. The geometric approach in this article shall intrigue university students and teachers alike in circuit analysis.
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