Fractals and dominant uniqueness parameters in the descriptions of some electrical engineering materials and components

Starting from the finding that the most intriguing feature of the fractals applications in physics refers to the dominant (prevalent) character of the specimen sizes in the description of some mechanical parameters or even of some electrical parameters (as e.g. the electrical capacitance of some capacitors), this work analyzes the presence of other dominant uniqueness parameters in the descriptions of some characteristic parameters of the materials intended to electrical engineering. There were pointed out the following dominant uniqueness parameters in the descriptions of some magnetic materials: a) the initial relative permeability μ r i , which determines with sufficiently good accuracy - by means of some parabolic correlations in logμ r i - the parameters of the hysteresis cycle, as well as the dispersion parameters (the so-called "limit laws") of spinelic ferrimagnetic materials, b) the oscillations frequency, which determines (by means of some power laws) the viscous friction coefficient of the magnetization domains oscillations, as well as the quality factor of sound propagation through certain elastic media.