A new type of coil magnet in which the plane of each turn of the conducting coil is rotated with respect to the central axis. This results in the induced magnetic field being oriented off the central axis. A set of two such disk assemblies are preferably nested, with the current flowing in opposite directions within the two assemblies. This results in the components of the two induced magnetic fields lying along the center axis canceling each other out, leaving only a purely transverse magnetic field. In addition, variations in the angular offset of the nested coils can be used to create a magnetic field having almost any orientation. Three or more such nested disk assemblies can be employed to strengthen and adjust the transverse magnetic field.