Electromagnetic coils of laminated, foil construction are suitable for use in guideways of magnetically-levitated-vehicle systems. The coils are each constructed by applying a double-sided adhesive tape of insulating material to both surfaces of a continuous ribbon of conductive foil to form a tri-layer laminate or matrix. Then, the tri-layer matrix is shaped into a coil of a desired configuration. The coil loops or turns are formed by folding the tri-layer matrix along diagonal fold lines in selected bend regions so as to transpose the top and bottom surfaces of the laminate on either side of the folds, and bring the surface interior of the folds into contact. The insulating material in the laminate is omitted from the interior bend regions, so that, after folds have been made, the interior surfaces in those regions are exposed foil which electrically contact one-another. With this construction, each turn of the coil is separated electrically from adjacent turns by two layers of insulation covering a single layer of foil, except in the bend regions, where two layers of foil are present on the interior of the folds, along with two layers of insulation along the exterior the folds. Alternative constructions in the bend regions avoid unsightly bulging in that area.