摘要
用数学积分的方法研究了平面正方形无穷网络上任意两节点间的电阻,得到轴上任意两节点间电阻的代数表达式,并画出了平面上相对原点的等电阻线,发现其接近圆形,最后利用这条性质给出了一个计算任意两节点间等效电阻的简洁近似公式.
We study the resistance between two tegral and get the general solution of the resistance arbitrary nodes in an infinite square lattice by mathematical inbetween two arbitrary nodes of the coordinate axis. Then we draw the contour line of the resistance to the origin and find out that this line is close to a circle. Finally, we give an approximate formula to calculate the equivalent resistance between two arbitrary nodes in the plane.
出处
《大学物理》
北大核心
2013年第9期58-60,65,共4页
College Physics
关键词
平面正方形无穷网络
等效电阻
积分
近似公式
infinite square lattice
equivalent resistance
integral
approximate formula