Equivalent structures of permanent magnets and electric currents designed to generate uniform fields

Generation and confinement of a magnetic field by means of permanent magnets as well as time‐independent electric currents are analyzed, and the conditions of existence of uniform field solutions are established in the general case of structures that enclose a region of arbitrary geometry. Basic properties of distributions of the electric currents are compared with the properties of yokeless structures of permanent magnets intended to generate the same uniform field within the same region.