By Professor I. D. Vagner, Dr. B. I. Lembrikov, Professor P. Wyder (auth.)
This e-book is dedicated to the idea of electrodynamic phenomena in structures less than an exterior magnetic box. The research is predicated on Maxwell's equations. We current the basics of magnetostatics, quasistatic electromagnetic fields and electromagnetic wave propagation. the most a part of the ebook describes the behaviour of a charged particle in an electromagnetic box, and the electrodynamics of plasmas, liquid crystals and superconductors. those very assorted topics have a major universal characteristic, specifically the basic position performed by way of the magnetic box. Plasmas, liquid crystals and superconductors might be regarded as magnetoactive media, simply because their electromagnetic features are strongly laid low with an exterior magnetic box. The publication could be valuable for graduate scholars in physics, experimentalists, and engineers in high-tech industries.
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Additional info for Electrodynamics of Magnetoactive Media
Sample text
91) we obtain Ir H = 21rR5, 0 < r < Ro. 91) remains valid. 93) shows that the solution is continuous at r = R 0 . The solution is presented in Fig. 4. Consider now the coaxial cylinder with the radius of the core R 1 and the internal and external radii of the shell R2 and R3, respectively. In the core and in the shell the equal currents I flow in the opposite directions. 91) , respectively: I Ir H = 21rRi' 0 ::; r::; R1; H = 21rr, R 1 ::; r::; R 2. The current distribution in the shell has the form r2 R2 I (r) = I R 2 -=- R22 , R 2 ::; r::; R;3.
26). 26) takes the form A(r) = JLoJLr 47r If lr-dl'r'l . 27) Let us introduce a magnetic flux
The cylindrical hole is equivalent to the current flowing in the opposite direction with respect to the existing one which would correspond to the current density - j. 2 Magnetic Field of a Given Current Distribution 49 the hole has the form jr' H2 = -2e'~', where r' the radius vector in the coordinates connected with the hole. e. the center of the cylinder cross section. 98) where I is the total current in the cylinder. 2 Magnetic Field of a Contour with a Current Consider the magnetic field of the circular contour with a current I.
