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The seventeen resistances of three resistors

 

作者: N.W.Lewis,  

 

期刊: Journal of the Institution of Electrical Engineers - Part I: General  (IET Available online 1945)
卷期: Volume 92, issue 58  

页码: 378-379

 

年代: 1945

 

DOI:10.1049/ji-1.1945.0098

 

出版商: IEE

 

数据来源: IET

 

摘要:

Three resistors offer 4 series, 4 parallel, and 6 series-parallel combinations, a total of 17 resistances. It is shown that if the values of the resistors are three consecutive terms of a certain geometric series (common ratio approximately 11/6) then the distribution of the 17 values is closely related to another geometric series (common ratio approximately 6/5). The results apply equally to the combinations of three inductors or three capacitors.

 

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