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By Vladimir V. Mitin, Dmitry I. Sementsov

Modern know-how is speedily constructing and therefore destiny engineers have to collect complex wisdom in technological know-how and know-how, together with electromagnetic phenomena. This ebook is a latest textual content of a one-semester direction for junior electric engineering scholars. It covers a vast spectrum of electromagnetic phenomena resembling, floor waves, plasmas, photonic crystals, destructive refraction in addition to similar fabrics together with superconductors. moreover, the textual content brings jointly electromagnetism and optics because the majority of texts speak about electromagnetism disconnected from optics. against this, during this e-book either are mentioned. Seven labs were built to accompany the cloth of the e-book.

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Extra resources for An introduction to applied electromagnetics and optics

Example text

It is clear that B rapidly tends to zero with increasing distance from the ends of the solenoid. 8). We note that for an infinitely long solenoid, the magnetic field lines outside the solenoid are parallel to the axis of the solenoid and antiparallel to each other. Thus, at points located at a sufficiently large distance from the axis of the solenoid, the magnetic field is practically equal to zero. An infinitely long solenoid is an idealized model of a real, sufficiently long solenoid. The application of Ampere’s law to an infinitely long solenoid allows us to get the correct expression for the magnetic field without integration.

4 Consider a metal sphere with a radius R, charged with a total charge Q. Determine the energy of the electric field inside and outside the sphere and the capacitance of the sphere. So we have E(r)={ keQr2for r≥R,0for r

8 The potential associated with an electric field depends on the Cartesian coordinates according to the equation (i) φ=a(x2−y2) and (ii) φ=bxyz, where a and b are constants. Determine the electric field in each case. Assume that r− and r+ are much larger than the charge separation l. 17. 0 cm. Determine the electric force between the two rods. 11 A thin insulating rod is bent into a semicircle of radius R. 18 as a hint). 12 A metal sphere of radius R is charged with charge Q. Determine the polarization of the dielectric shell if the dielectric permittivity of the shell is equal to κ.

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