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Any FIELD, by definition, is Force, which is a continuous parameter of space. For the Magnetic Field, this parameter is the Ampere Force, but it was actually neglected. Without fully understanding the ELEMENTARY Lorentz Force, the mystical “Theory” of Magnetism was built - the theory of interaction of Descartes’ “gimlets”, which was used by Maxwell to build General Electrodynamics. This, strictly speaking, led to the uncertainty of the very concept of the Magnetic Field. So in practice, when designing magnets, the “Theory” of Magnetism actually did not work and was used by Kirchhoff’s rules based on empirical parameters. The analysis of the ELEMENTARY Electric Oscillator made it possible to unambiguously connect the IMAGINARY terms of the Complete Solution of the differential equation of the Complex Elementary Oscillator with the IMAGINARY Parameter initially introduced into its equation, which strictly corresponds to the orthogonal Electric Field - Magnetic. And this made it possible to restore the correct picture of the Magnetic Field.
Stanislav Ordin (Thu,) studied this question.