ЗАДАЧА ПРОДОВЖЕННЯ ПЛОСКОМЕРИДІАННОГО МАГНІТОСТАТИЧНОГО ПОЛЯ З ПЛОСКОЇ ГРАНИЧНОЇ ПОВЕРХНІ ФЕРОГМАГНЕТИКА

The problem of axisymmetric steady magnetic field continuation from flat boundary surface of ferromagnetic is formulated for magnetic flux and scalar potential. Boundary conditions for magnetic flux are not classical because on boundary magnetic flux is unknown and its normal derivative equal zero....

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Збережено в:
Бібліографічні деталі
Дата:2025
Автор: Михайлов, В.М.
Формат: Стаття
Мова:Ukrainian
Опубліковано: Інститут електродинаміки НАН України, Київ 2025
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Онлайн доступ:https://techned.org.ua/index.php/techned/article/view/1639
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Назва журналу:Technical Electrodynamics

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Technical Electrodynamics
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Резюме:The problem of axisymmetric steady magnetic field continuation from flat boundary surface of ferromagnetic is formulated for magnetic flux and scalar potential. Boundary conditions for magnetic flux are not classical because on boundary magnetic flux is unknown and its normal derivative equal zero. The formulation for scalar potential is Cauchy's problem for elliptical partial differential equation. Analytical solutions of the problem are obtained by method of partial solutions, which depend on parameter continuously, and Hankel's integral transformation. It is shown that there are similar properties in problems of axisymmetric fields continuation from flat boundaries of ideal conductor for magnetic field and conductor for steady electric field. It is fixed that field lines, which bound unknown profile, are determined directly by solution of Cauchy's problem for one from two functions. Equipotential lines are calculated to determine of electromagnetic pole profile. References 7, figures 2, table 1.