For a round electromagnet, is there a general rule for the orientation that provides the maximum field along the axial centerline. Specifically, is there a ratio or relationship between the OD, ID and height of the coil that will maximize the field. Given a set # turns, the coil can be designed many ways (e.g. greater height with smaller OD, vice-versa, etc.). I have attempted to plot this theoretically but haven't been able to come up with a trend towards an optimal design.
Thanks in advance for your help.
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