The methodology of explanation circulation theorem on the example of a plane-parallel plate of constant thickness

at Bauman Moscow State Technical University, the theoretical physics course covers a number of sections, including electrostatics and magnetostatics. It is in these sections that such methods for determining electric and magnetic fields are studied, which, given the symmetry of the problem and using it, make it possible to find the strengths of these fields in an analytical form as simply as possible. It is extremely important to explain methodically what these methods are based on, not only considering the theoretical aspects, but also using the example of specific tasks [1, 2], it is necessary to clearly demonstrate the convenience of solving in ways unusual for the student and new to him. When studying electric fields, it is convenient to apply Gauss' theorem for certain tasks. The methodology of explanation and the degree of detail of the presentation of this theorem to students were described in detail earlier [3]. In this article, the authors consider in detail a method for determining the strength of a magnetic field or its inductance using the circulation theorem using the example of a plane-parallel plate of constant thickness. The field is determined both inside and outside the plate. The accessibility of the presented material, its understanding and comprehension by students increases motivation to study at the chosen university. Mastering the basic courses allows students to better navigate in such applied disciplines as theoretical mechanics, resistance of materials, theory of vibrations, electrical engineering, electronics, optics, nanotechnology, etc.

physics, electrostatics, the circulation theorem, contour