Figure Q.1(b) illustrates a portion of a printed circuit board (PCB) microstrip traces routing. It consists of a thin trace sectir in, which lead to a wide curved trace section before branches to another part of the PCB layouts. The sections are intended to carry a total current I. An H field is to (0,0,0). Assume a negligible microstrip trace thicknese for analysis.

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Ising model of Ferromagnets

The Ising model is one of the easiest and most famous theoretical models for ferromagnetism in statistical mechanics. When a group of atomic spins aligns such that their magnetic moments are pointed in the same direction and produce a strong permanent magnetic moment in macroscopic size, the phenomenon is called ferromagnetism. The relative permeability of these magnets is greater than unity and increasing magnetization with the applied external field. Even in the absence of an external magnetic field, these substances retain spontaneous magnetization. An example of ferromagnets is iron.