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Minimum‐energy charge configurations

 

作者: M. G. Calkin,   D. Kiang,   D. A. Tindall,  

 

期刊: American Journal of Physics  （AIP Available online 1987）
卷期: Volume 55, issue 2  

页码: 157-158

 

ISSN:0002-9505

 

年代: 1987

 

DOI:10.1119/1.15235

 

出版商: American Association of Physics Teachers

 

关键词: POINT CHARGE;TWO−DIMENSIONAL CALCULATIONS;THREE−DIMENSIONAL CALCULATIONS;SPHERICAL CONFIGURATION;CIRCULAR CONFIGURATION;ELECTROSTATICS;MINIMIZATION;ENERGY

 

数据来源: AIP

 

摘要:

In two dimensions the minimum energy configuration of a finite set of equal point charges confined to a circle does not necessarily have all the charges on the circumference. In three dimensions, however, we show that the minimum energy configuration of a similar set of charges confined by a surface has all of the charges located on the surface. The pseudo‐two‐dimensional analog of the three‐dimensional case, provided by an array of parallel line charges confined to a cylinder, is also investigated.

 

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