Study of the range of uniform magnetic field of Helmholtz rings

MO Yun-fei, ZHOU Qun-yi , HOU Zhao-yang, ZHOU Li-li

doi:10.16854 /j.cnki.1000-0712.200137

College Physics >

2021 , Vol. 40 >Issue 2: 18 - 20

DOI: https://doi.org/10.16854 /j.cnki.1000-0712.200137

Study of the range of uniform magnetic field of Helmholtz rings

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1. School of Electronic Information and Electrical Engineering，Changsha University，Changsha，Hunan 410022，China; 2. College of Tianhe，Guangdong Polytechnic Normal University，Guangzhou，Guangdong 510540，China; 3. School of Science，Chang’an University，Xi’an，Shaanxi 710064，China; 4. Department of Information Engineering，Gannan Medical University，Ganzhou. Guangdong 341000，China

Received date: 2020-04-15

Revised date: 2020-05-06

Online published: 2021-02-22

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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

Key words： two current coaxal rings; magnetic field; Helmholtz rings; range of uniform field

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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 . DOI: 10.16854 /j.cnki.1000-0712.200137

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