Abstract
The positions of four equiradial circular coils, arranged coaxially to generate a maximum volume of uniform magnetic field, were found to depend on the level of uniformity required. Dimensions of four new coil arrangements are given that allow a current (turns) ratio of 9/4, and that produce larger working volumes, for field variations in the range 10-3 to 10-6, than the original system due to Barker (1949).