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Nishmura H. From the Biot-Savart Law to Ampere's Magnetic Circuital Law via Synthetic Differential Geometry [J]. 2014, 87-89.

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Article

Theoretical Derivation of Ampere's Circuital Law

1Shenzhen Senior High School, P.R. China

2School of Physics and Astronomy, Shanghai Jiao Tong University, P.R. China


International Journal of Physics. 2020, Vol. 8 No. 3, 105-107
DOI: 10.12691/ijp-8-3-3
Copyright © 2020 Science and Education Publishing

Cite this paper:
Yiran Luo, Shimeng Feng. Theoretical Derivation of Ampere's Circuital Law. International Journal of Physics. 2020; 8(3):105-107. doi: 10.12691/ijp-8-3-3.

Correspondence to: Shimeng  Feng, School of Physics and Astronomy, Shanghai Jiao Tong University, P.R. China. Email: smfeng@sjtu.edu.cn

Abstract

Amperes circuital law is a very important formula in classical electromagnetics. However, the corresponding detailed theoretical derivation is rarely seen in relevant textbooks. In this paper, based on the magnetic field produced by a moving charge, we taken the divergence theorem and rotation of the magnetic field, respectively, and given a series of mathematical transformations. At last, we derived Ampere's circuital law of the magnetic field, which is very helpful to understand the physical source of the law.

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