TY - JOUR
AU - Baranov, M. I.
AU - Rudakov, S. V.
PY - 2020/04/21
Y2 - 2023/09/22
TI - CALCULATION-EXPERIMENTAL DETERMINATION OF THE AVERAGE NUMBER OF QUANTIZED LONGITUDINAL ELECTRON DE BROGLIE HALF WAVES IN A CYLINDRICAL CONDUCTOR WITH PULSED AXIAL CURRENT
JF - Electrical Engineering & Electromechanics
JA - Electrical Engineering & Electromechanics
VL - 0
IS - 2
SE - Theoretical Electrical Engineering
DO - 10.20998/2074-272X.2020.2.05
UR - http://eie.khpi.edu.ua/article/view/2074-272X.2020.2.05
SP - 33-39
AB - <strong><em>Purpose.</em></strong><em> Implementation of calculation-experimental determination of average number n</em><sub>0<em>m</em></sub><em> of the quantized longitudinal electron de Broglie half waves of length λ<sub>ezm</sub>/2 in the metal cylindrical conductor with the pulsed axial current of high density.</em><em> <strong>Methodology.</strong> Scientific bases of theoretical electrophysics and quantum physics, theoretical bases of the electrical engineering, electrophysics bases of technique of high-voltage and high pulsed currents. <strong>Results.</strong> The results of calculation-experimental estimations of average number n</em><sub>0<em>m</em></sub><em> of the quantized longitudinal electron de Broglie half waves in the round continuous zincked steel wire of radius 0.8mm and of length 320 mm with aperiodic pulsed axial current i</em><sub>0</sub><em>(t) of temporal shape 9 ms/160 ms of high density (at its amplitude of δ</em><sub>0<em>m</em></sub><em>=0.37 kA/mm<sup>2</sup>).</em><em> It is shown that in examined case the numeral value of the average quantized number from data of calculation and experiment makes n</em><sub>0<em>m</em></sub><em>=9, and test average length of quantized longitudinal electron de Broglie half waves in the indicated steel wire appears approximately equal to λ<sub>ezm</sub>/2≈34 mm.</em><em> Electrophysical results are confirmed during the high current high temperature experiment conducted by a powerful high-voltage equipment calculation information on the choice of average value of quantized number n</em><sub>0<em>m</em></sub><em> for longitudinal «hot» areas of the width </em>Δ<em>z of the wire, different anomalous enhanceable concentration of drifting lone electrons and accordingly temperature of Joule heating.</em><em> <strong>Originality.</strong> On the basis of the known conformities to the law of atomic and quantum physics new quantum-mechanical calculation correlation is obtained for determination in a metallic conductor with axial current of conductivity i</em><sub>0</sub><em>(t) of different type (direct, alternating and pulsed) of average number n</em><sub>0<em>m</em></sub><em> of the quantized longitudinal electron de Broglie half waves and accordingly longitudinal «hot» areas of the width </em>Δ<em>z of periodic localization along the conductor of drifting lone electrons.</em><em> <strong>Practical value.</strong> Obtained results allow to make an evaluation prognosis on finding of possible places of longitudinal periodic localization of drifting lone electrons on narrow areas of the width </em>Δ<em>z of current-carrying parts of power wires and cables of objects of electrical power energy, production and dwellings apartments, showing up most strongly (expressed) in malfunctions of operation of cable-conductor products with the currents of short-circuit and high current density.</em><em></em>
ER -