# CALCULATION-EXPERIMENTAL DETERMINATION OF THE AVERAGE NUMBER OF QUANTIZED LONGITUDINAL ELECTRON DE BROGLIE HALF WAVES IN A CYLINDRICAL CONDUCTOR WITH PULSED AXIAL CURRENT

## DOI:

https://doi.org/10.20998/2074-272X.2020.2.05## Keywords:

metal conductor, pulsed current, calculation-experimental determination of the average number of quantized longitudinal electron de Broglie half waves and electron localization zones in a conductor## Abstract

*Purpose.**Implementation of calculation-experimental determination of average number n*

_{0m}

*of the quantized longitudinal electron de Broglie half waves of length λ*

_{ezm}/2 in the metal cylindrical conductor with the pulsed axial current of high density.

**Methodology.**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.**Results.**The results of calculation-experimental estimations of average number n_{0m}

*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*

_{0}

*(t) of temporal shape 9 ms/160 ms of high density (at its amplitude of δ*

_{0m}

*=0.37 kA/mm*

^{2}).*It is shown that in examined case the numeral value of the average quantized number from data of calculation and experiment makes n*

_{0m}

*=9, and test average length of quantized longitudinal electron de Broglie half waves in the indicated steel wire appears approximately equal to λ*

_{ezm}/2≈34 mm.*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*

_{0m}

*for longitudinal «hot» areas of the width*Δ

*z of the wire, different anomalous enhanceable concentration of drifting lone electrons and accordingly temperature of Joule heating.*

**Originality.**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_{0}

*(t) of different type (direct, alternating and pulsed) of average number n*

_{0m}

*of the quantized longitudinal electron de Broglie half waves and accordingly longitudinal «hot» areas of the width*Δ

*z of periodic localization along the conductor of drifting lone electrons.*

*Δ*

**Practical value.**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*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.*

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*Electrical Engineering & Electromechanics*, (2), 33–39. https://doi.org/10.20998/2074-272X.2020.2.05

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