By H. Boffin, et al., [faint scan]

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A quantitative evaluation of the skin effect can be very complex and simple results are obtained only for special cases. 21 66 × 10−3 10 MHz 21 × 10−3 In this equation, ρ and μ denote, respectively, the resistivity and the magnetic permeability of the conducting material and ω is the angular frequency of the oscillating current. 3 gives the extension of the skin-depth, as derived from Eq. 24), for a copper conductor as a function of the current oscillation frequency. 4 Usage Limits for Real Electrical Components All electrical components suffer of usage limits due to the effects that the passage of an electric current and/or the application of an electric field can cause in the materials used for their construction.

5). 4) we found by solving the circuit with the method of the meshes. 4 Nonlinear Circuits The methods for the solution of circuits, illustrated in the previous paragraphs, are based on the Kirchhoff’s laws that, in turn, are based on the general principles of conservation of energy and electric charge and therefore can be applied, in principle, to circuits with nonlinear components. The difficulties encountered when trying to solve this kind of circuits are of a mathematical nature and derive from the nonlinear relationship between current and voltage in the nonlinear element, described by the so-called characteristic.

5. 3 Real Components 21 A3 i A4 B B B B A2 B A1 Fig. 11 Qualitative deduction of the skin effect section for the current flow, causing an increase in its resistance. In the following, we give a qualitative understanding of the physics of skin effect in a simple geometry. Consider an alternating current i(t) flowing through a cylindrical wire as shown in Fig. 11. The rectangular path A1 , A2 , A3 , A4 inside the wire has one of its edges, A1 A2 , along the cylindrical axis. When the current i(t) is directed along the arrow in the figure the field lines of the magnetic induction B are circles perpendicular to the axis as shown in the figure.