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Series Solution for Magnetic Flux Density of Circular Current Loop and a Relevant Application

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Abstract

The series solution to the magnetic flux density of a circular current loop is presented in the paper. The convergences of these series are assessed. Comparing the result with elliptic integral method, the validity and feasibility of series solution were verified. A computer program has been developed by the method to calculate the magnetic flux density of a multi-coil magnet and its uniformity successfully.

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Author notes

  1. Yong-chao Guo and Yan Zhang have contributed equally to this work and are joint first authors.

Authors and Affiliations

  1. High Magnetic Field Laboratory, Chinese Academy of Sciences, Hefei, 230031, China

    Yong-chao Guo, Xiang-yu Cheng, Peng-cheng Huang, Zhen Fang & Wen-ge Chen

  2. University of Science and Technology of China, Hefei, 230026, China

    Yong-chao Guo, Xiang-yu Cheng, Peng-cheng Huang, Zhen Fang & Wen-ge Chen

  3. Anhui Water Conservancy Technical College, Hefei, 231603, China

    Yan Zhang

  4. The 38th Research Institute of China Electronics Technology Group Corporation, Hefei, 230088, China

    Xiang-yu Cheng

Authors
  1. Yong-chao Guo
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  2. Yan Zhang
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  3. Xiang-yu Cheng
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  4. Peng-cheng Huang
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  5. Zhen Fang
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  6. Wen-ge Chen
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Corresponding author

Correspondence to Xiang-yu Cheng.

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Guo, Yc., Zhang, Y., Cheng, Xy. et al. Series Solution for Magnetic Flux Density of Circular Current Loop and a Relevant Application. J Fusion Energ 37, 130–135 (2018). https://doi.org/10.1007/s10894-018-0159-0

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  • DOI: https://doi.org/10.1007/s10894-018-0159-0

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