Publication result detail

Self-induction in two long parallel conductors connected to sinusoidal voltage source

Coufal Oldřich, Radil Lukáš

Original Title

Self-induction in two long parallel conductors connected to sinusoidal voltage source

English Title

Self-induction in two long parallel conductors connected to sinusoidal voltage source

Type

WoS Article

Original Abstract

The paper deals with the self-induction of two parallel infinitely long conductors of arbitrary cross section connected to an ideal sinusoidal voltage source. The conductors do not move. A quasi-stationary behavior is assumed, the displacement current is neglected and the permeability of the conductors and their surroundings equals the permeability of vacuum. The subject matter of the paper is the calculation of impedance, which in the theory of circuits with lumped elements can replace 1m of conductors. The definition of inductance and the formulae for its calculation that form part of textbooks on physics and electromagnetism have been the same for such a long time that nobody doubts their correctness. Only the recently published method for the calculation of current density in long parallel conductors allows calculating accurately the equivalent impedance and self-inductance, and also evaluating critically the present knowledge.

English abstract

The paper deals with the self-induction of two parallel infinitely long conductors of arbitrary cross section connected to an ideal sinusoidal voltage source. The conductors do not move. A quasi-stationary behavior is assumed, the displacement current is neglected and the permeability of the conductors and their surroundings equals the permeability of vacuum. The subject matter of the paper is the calculation of impedance, which in the theory of circuits with lumped elements can replace 1m of conductors. The definition of inductance and the formulae for its calculation that form part of textbooks on physics and electromagnetism have been the same for such a long time that nobody doubts their correctness. Only the recently published method for the calculation of current density in long parallel conductors allows calculating accurately the equivalent impedance and self-inductance, and also evaluating critically the present knowledge.

Keywords

applied classical electromagnetism, induced currents, inductance, numerical simulation

Key words in English

applied classical electromagnetism, induced currents, inductance, numerical simulation

Authors

Coufal Oldřich, Radil Lukáš

RIV year

2021

Released

02.04.2020

Publisher

IOP Publishing Ltd.

Location

Temple Circus, Temple Way, Bristol BS1 6BE, England

ISBN

0031-8949

Periodical

Physica Scripta

Volume

95

Number

6

State

United Kingdom of Great Britain and Northern Ireland

Pages from

1

Pages to

9

Pages count

9

URL

https://iopscience.iop.org/article/10.1088/1402-4896/ab7dd2

BibTex

@article{BUT163906,
  author="Oldřich {Coufal} and Lukáš {Radil}",
  title="Self-induction in two long parallel conductors connected to sinusoidal voltage source",
  journal="Physica Scripta",
  year="2020",
  volume="95",
  number="6",
  pages="1--9",
  doi="10.1088/1402-4896/ab7dd2",
  issn="0031-8949",
  url="https://iopscience.iop.org/article/10.1088/1402-4896/ab7dd2"
}