International Journal of Physics
ISSN (Print): 2333-4568 ISSN (Online): 2333-4576 Website: Editor-in-chief: B.D. Indu
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International Journal of Physics. 2020, 8(3), 105-107
DOI: 10.12691/ijp-8-3-3
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Theoretical Derivation of Ampere's Circuital Law

Yiran Luo1 and Shimeng Feng2,

1Shenzhen Senior High School, P.R. China

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

Pub. Date: August 25, 2020

Cite this paper:
Yiran Luo and 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


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.

Ampere's circuital Law magnetic field electric field

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