Abstract
This article presents a very detailed resolution of a non-trivial problem in Electromagnetic Theory. The problem basically consists of a circular conducting loop of radius R, which has a current I, and is located with its center at the origin of the Cartesian coordinate system. It is rotated with respect to the normal to its plane with angles of θ0 and φ0 in spherical coordinates, in addition, there is an applied External Magnetic Field. The forces generated by the magnetic field in all directions were calculated without approximations, where in the z direction the force is zero, as expected.
Highlights
Classical electromagnetic theory, together with classical mechanics and quantum mechanics, constitute a core of extremely important disciplines for undergraduate and graduate students in physics [1,2,3]
Mechanics tells us as a system that is subject to a certain Force
We know that there are for the moment only the fundamental forces in Physics, which are: Strong, Electromagnetic, Weak and Gravitational, are written from stronger to weak, respectively [7, 8]
Summary
Together with classical mechanics and quantum mechanics, constitute a core of extremely important disciplines for undergraduate and graduate students in physics [1,2,3]. We know that there are for the moment only the fundamental forces in Physics, which are: Strong, Electromagnetic, Weak and Gravitational, are written from stronger to weak, respectively [7, 8]. Who completed this task, compacting the equations in a way, was the famous Maxwell [9, 10]. In this way, when we talk about solving problems, many students present difficulties, due to the degree of mathematical complexity present in the exercises, ending up often failing to solve some problems. The main objective of this work is to solve, in a systematic and unprecedented way, an intriguing and quite interesting problem of electromagnetic theory, which is not so trivial but with a certain mathematical capacity we can solve the problem
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