Abstract
Using the principle of permutational duality as well as the analogical approach of both electrical and magnetic dipoles, it is possible to obtain a new relativistic magnetic type vector potential of an arbitrarily moving electric point dipole. The specific cases of the magnetic vector potential in the calculation of fields have been considered, and the obtained results have been compared with the research of other scholars.
Highlights
Drawing analogies and utilizing analogical models have played a significant role throughout history, starting from the 18th century
We show how to calculate the electromagnetic field of the electric dipole via the vector potential Am of magnetic type
It is important to note that the radiation fields of the electric dipole can be obtained directly from the corresponding expressions of the magnetic dipole based on the duality principle
Summary
Drawing analogies and utilizing analogical models have played a significant role throughout history, starting from the 18th century. Most scholars emphasize the utmost importance of drawing analogy within their research, whereas the usage of this method in natural science is considered an indispensable tool to promote scientific progress.. Leibniz characterized analogy as a tool that allows us to conclude on the similarity of the objects based on their nature and the degree of how similar their properties can be.. Due to the symmetry in Maxwell’s equations as well as the similarities of electric and magnetic fields, the analogy approach enables us to gain new knowledge and establish the relationship between electric and magnetic phenomena. It plays an important methodological role in cognitively understanding the entire physical process
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