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Engineering Physics

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Electrodynamics of a Current Loop
Ramazanov I.M.

The work is devoted to the search for effective methods for solving Maxwell's equations as applied to
engineering practice. When solving problems, Ampere's theorem was applied. The theorem, which
was essentially a hypothesis, since it had not been proven, was proven in the work using the Biot
and Savart Law. The “magnet intensity” predicted in the Theorem is defi ned as the vortex fi eld
induced by a charge rotating in a circuit with current. Its (intensity) value is calculated. It is shown
that the “intensity” has a constant value inside a fl at contour with current and vanishes outside
the contour. A solution to Maxwell's equations is proposed using the results obtained. A tensor (of
electromagnetic fi eld) differential equation of the second order is constructed, which leads to the
solution of Maxwell's equation to a well-developed system of Newtonian potentials. The results of the
work made it possible to fi nd a different, more visual form, similar to the samples of electrodynamics
and hydrodynamics.
Keywords: Ampere's theorem, current circuit, Biot-Savart's law, Maxwell's equation.


DOI: 10.25791/infi zik.10.2024.1434

Pp. 59-64.

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