A Two-dimensional eddy current model using thin inductors

Overview & Synopsis

We derive a mathematical model for eddy currents in two dimensional geometries where the conductors are thin domains. We assume that the current flows in the $x_3$-direction and the inductors are domains with small diameters of order $O(\epsilon)$. The model is derived by taking the limit $\epsilon\to 0$. A convergence rate of $O(\epsilon^\alpha)$ with $0