Characteristics of the Flow of an Electric Current in a Two-Dimensional Periodic Element of a Magnetic Sensor

A solution is presented for a non-standard boundary value problem using Laplace’s equation with mixed Dirichlet–Neumann boundary conditions in a two-dimensional element with periodically alternating media that have different conductivities. The distribution of current lines and equipotentials is found for different ratios of media conductivities in the barber-pole structure used in anisotropic magnetoresistive magnetic field sensors.