Asymptotic behaviour of the inductance coefficient for thin conductors

Details Asymptotic behaviour of the inductance coefficient for thin conductors Asymptotic behaviour of the inductance coefficient for thin conductors

2006-07-19

arxiv.org/abs/math/0607452v1

Mathematical Models and Methods in Applied Sciences 12 (2002) 273-289

Mathematics

Analysis of PDEs

Scientific paper

10.1142/S0218202502001647

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 $\eps\to 0$.

Affiliated with

Also associated with

No associations

Rating

Asymptotic behaviour of the inductance coefficient for thin conductors does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Asymptotic behaviour of the inductance coefficient for thin conductors, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Asymptotic behaviour of the inductance coefficient for thin conductors will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-625727