Abstract
The magnetic field of long, straight conductors of arbitrary polygonal cross section, carrying current of given volume density, is modeled in terms of a distribution of fictitious magnetization inside each conductor and a distribution of fictitious surface current, using the Amperian model for magnetized media. Subsequently, this magnetization is replaced by an equivalent distribution of fictitious magnetic surface charge. As a result, the field calculation is reduced to that of the field due to a long strip of finite width, with simple distributions of surface charge and current. An elementary formula is derived for the field produced by a conductor of arbitrary polygonal cross section carrying a uniformly distributed current. The amount of computation is subsequently reduced compared to that needed for other methods, since a Laplacian scalar potential can be used in the absence of volume current density in these models.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">></ETX>
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