无限螺线管与周围回路之间的互感--悖论的破解

IF 0.8 4区教育学 Q3 EDUCATION, SCIENTIFIC DISCIPLINES

American Journal of Physics Pub Date : 2024-06-01 DOI:10.1119/5.0172133

Ian C Malcolm

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引用次数: 0

摘要

学生可能会用错误的方法计算无限螺线管和周围环形线圈之间的互感，而正确的方法却能得出正确的答案，这就会造成挫折和困惑。这两种方法一致的物理解释是基于螺线管的平移对称性。因此，该结论适用于任意截面的无限均匀螺线管。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Mutual inductance between an infinite solenoid and a surrounding loop—A paradox resolved

Students may calculate the mutual inductance between an infinite solenoid and a surrounding circular loop using an incorrect method that yields the correct answer, causing frustration and confusion. A physical explanation for the agreement of the two methods is provided that is based on the translational symmetry of the solenoid. As a consequence, the conclusion generalizes to infinite uniform solenoids of arbitrary cross section.

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来源期刊

American Journal of Physics 物理-物理：综合

CiteScore

1.80

自引率

11.10%

发文量

146

审稿时长

3 months

期刊介绍： The mission of the American Journal of Physics (AJP) is to publish articles on the educational and cultural aspects of physics that are useful, interesting, and accessible to a diverse audience of physics students, educators, and researchers. Our audience generally reads outside their specialties to broaden their understanding of physics and to expand and enhance their pedagogical toolkits at the undergraduate and graduate levels.