| 亥姆霍兹线圈磁场均匀范围的研究 |
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| 引用本文： | 莫云飞,周群益,侯兆阳,周丽丽. 亥姆霍兹线圈磁场均匀范围的研究[J]. 大学物理, 2021, 40(2): 18-20,35 |
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| 作者姓名： | 莫云飞 周群益 侯兆阳 周丽丽 |
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| 作者单位： | 长沙学院电子信息与电气工程学院,湖南长沙410022;广东技术师范大学天河学院,广东广州510540;长安大学理学院应用物理系,陕西西安710064;赣南医学院信息工程学院,江西赣州341000 |
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| 基金项目： | 国家自然科学基金(11747123);湖南省自然科学基金(2018JJ3560);长沙市科技计划项目(kc1809022);湖南省教育厅科学研究项目(19C0176)资助。 |
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| 摘 要： | 推导了双环电流磁感应强度在直角坐标系中的解析式,将公式无量纲化,通过第一类和第二类完全椭圆积分计算场强的两个分量,从而计算合场强,画出亥姆霍兹线圈内外磁感应强度合场强曲面和三维均匀区域,发现磁场的均匀区域是"八爪"形状,并与双环电流不同距离的场强和均匀范围进行了比较.
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| 关 键 词： | 双环电流 磁感应强度 亥姆霍兹线圈 均匀区域 |
Study of the range of uniform magnetic field of Helmholtz rings |
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| MO Yun-fei,ZHOU Qun-yi,HOU Zhao-yang,ZHOU Li-li. Study of the range of uniform magnetic field of Helmholtz rings[J]. College Physics, 2021, 40(2): 18-20,35 |
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| Authors: | MO Yun-fei ZHOU Qun-yi HOU Zhao-yang ZHOU Li-li |
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| Affiliation: | (School of Electronic Information and Electrical Engineering,Changsha University,Changsha,Hunan 410022,China;College of Tianhe,Guangdong Polytechnic Normal University,Guangzhou,Guangdong 510540,China;School of Science,Chang’an University,Xi’an,Shaanxi 710064,China;Department of Information Engineering,Gannan Medical University,Ganzhou.Guangdong 341000,China) |
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| Abstract: | The analytical solutions of the magnetic field of Helmholtz rings in the rectangular coordinate are derived,and they are dimensionless.The components of magnetic field are obtained by means of the complete elliptic integral of first and second kinds.The distribution of magnetic field is plotted by means of MATLAB.It is found that the range of uniform field is octopus shape.Furthermore,the change of the range of uniform field with the distance between two current coaxal rings is discussed. |
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| Keywords: | two current coaxal rings magnetic field Helmholtz rings range of uniform field |
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