Self-inductance coefficient for toroidal thin conductors
type: Dataset
contact point: Organization
  fn: CCSD
keyword: asymptotic-behaviour
keyword: self-inductance
keyword: infoeu-reposemanticsarticle
keyword: journal-articles
keyword: mathmath-apmathematics-mathanalysis-of-pdes-mathap
keyword: eddy-currents
keyword: thin-domain
landing page: 0362-546X
description: We consider the inductance coefficient for a thin toroidal inductor whose thickness depends on a small parameter $\eps>0$. An explicit form of the singular part of the corresponding potential $u\ue$ is given. This allows to construct the limit potential $u$ (as $\eps\to 0$) and an approximation of the inductance coefficient $L\ue$. We establish some estimates of the deviation $u\ue-u$ and of the error of approximation of the inductance. The main result shows that $L\ue$ behaves asymptotically as $\ln\eps$, when $\eps\to 0$.
issued: 2026-05-09T00:57:59.573364
language: en
modified: 2026-05-09T00:57:59.573369

test_moissonnage_selune
type: Agent

Self-inductance coefficient for toroidal thin conductors
type: Distribution
access URL: https://hal.science/hal-00088320
format: HTML
issued: 2026-05-09T00:57:59.584265
modified: 2026-05-09T00:57:59.562189