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Article Dans Une Revue Mathematical Models and Methods in Applied Sciences Année : 2002

Asymptotic behaviour of the inductance coefficient for thin conductors

Youcef Amirat
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  • PersonId : 834294
Rachid Touzani
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  • PersonId : 836170

Résumé

We study the asymptotic behaviour of the inductance coefficient for a thin toroidal inductor whose thickness depends on a small parameter $\eps>0$. We give an explicit form of the singular part of the corresponding potential $u\ue$ which 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. We show that $L\ue$ behaves asymptotically as $\ln\eps$, when $\eps\to 0$.
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Dates et versions

hal-00086528 , version 1 (19-07-2006)

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Youcef Amirat, Rachid Touzani. Asymptotic behaviour of the inductance coefficient for thin conductors. Mathematical Models and Methods in Applied Sciences, 2002, 12 (2), pp.273-289. ⟨10.1142/S0218202502001647⟩. ⟨hal-00086528⟩
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