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The Nonzero External Magnetic Field of Long Solenoids

The Nonzero External Magnetic Field of Long Solenoids
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摘要 A widespread assertion has existed for a long time, believing the external field of an infinitely long solenoid should be zero, but it is proofed to be wrong in this work. The components of magnetic flux density of current-carrying, closely wound cylindrical solenoids are calculated. At a distant field point, the external field definitely has a nonzero component, being equal to that of a straight wire of equal length. Since this equivalence is length-independent, it still holds true for ideal solenoids having infinite length. Hence the incorrect and still spreading inference about long solenoids should be rectified. Furthermore, theoretical and experimental discussions involving solenoids should be reviewed again carefully. A widespread assertion has existed for a long time, believing the external field of an infinitely long solenoid should be zero, but it is proofed to be wrong in this work. The components of magnetic flux density of current-carrying, closely wound cylindrical solenoids are calculated. At a distant field point, the external field definitely has a nonzero component, being equal to that of a straight wire of equal length. Since this equivalence is length-independent, it still holds true for ideal solenoids having infinite length. Hence the incorrect and still spreading inference about long solenoids should be rectified. Furthermore, theoretical and experimental discussions involving solenoids should be reviewed again carefully.
作者 Shiwei Ye Shiwei Ye(Beijing Computational Science Research Center, Beijing, China)
出处 《Journal of Electromagnetic Analysis and Applications》 2022年第2期19-30,共12页 电磁分析与应用期刊(英文)
关键词 SOLENOID Magnetic Flux Density Vector Potential Aharonov-Bohm Effect Solenoid Magnetic Flux Density Vector Potential Aharonov-Bohm Effect
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