How Many Equivalent Resistances?

被引：0
|
作者：
Khan, Sameen Ahmed [1 ]
机构：
[1] Salalah Coll Technol, Phys, Salalah, Oman
来源：
RESONANCE-JOURNAL OF SCIENCE EDUCATION | 2012年 / 17卷 / 05期
关键词：
Resistors; series; parallel; bridge; non-planar; Fibonacci numbers; Haros-Farey sequence; integer sequences;
D O I：
10.1007/s12045-012-0050-7
中图分类号：
G40 [教育学];
学科分类号：
040101 ; 120403 ;
摘要：
It is straightforward to construct the set of equivalent resistance for circuits constructed from a bunch of four or five equal resistors. But as the bunch size increases it becomes difficult to find the order of the set of equivalent resistances. Even the computer programs runs out of memory. Here we present an analytical result using simple mathematical machinery. The size of the set is shown to be less than 2.618(n).
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页码：468 / 475
页数：8
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