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Compression of Magnetic Field Between Two Semi‐Infinite Slabs of Constant Conductivity

 

作者: Andrew Paton,   William Millar,  

 

期刊: Journal of Applied Physics  (AIP Available online 1964)
卷期: Volume 35, issue 4  

页码: 1141-1146

 

ISSN:0021-8979

 

年代: 1964

 

DOI:10.1063/1.1713581

 

出版商: AIP

 

数据来源: AIP

 

摘要:

A uniform magnetic field is compressed in a circuit containing two semi‐infinite slabs of constant conductivity &sgr;. The separationlof the slabs decreases uniformly according tol=l0−vt. An equation involving the magnetic Reynolds numberRm=&sgr;&mgr;0l0vis derived for the magnetic field in the gap. Expressions are given for the magnetic and electric fields everywhere up to the instant of collision. These expressions are evaluated for several values ofRmand it is found that the ratio of Joule energy density to magnetic energy density at the surfaces of the slabs is fairly close to unity throughout the motion. ForRm»1 it is shown that the maximum magnification of the initial field is approximatelyRm/8.

 

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