A new system of electromagnetic forces needed

In liquid conductors, such as exist in some electric furnaces, and especially when high current densities are used, the writer has noticed that there are some new electromagnetic forces which do not appear to be accounted for by present mathematical treatments of the subject; as such very mobile conductors respond more readily to these forces than solid conductors do, they make the presence of such forces more evident; and as most of them presumably increase with the square of the current or the product of two currents, a force which under ordinary circumstances may be unnoticed may become quite formidable at such high current densities. Moreover, for a given current the flux encircling a conductor, which is what gives rise to these forces, becomes greater with diminishing cross sections.