Abstract: For NMR purposes a uniform magnetic field has been produced by field coils. It is known to use a cosinusoidal distribution to produce a uniform field. However, a large-diameter low-inductance coil is required for NMR and it is difficult to wind a small number of turns cosinusoidally. It is proposed to use two cosinusoidal coils providing unequal and opposing fields, the required field being the resultant and the combined inductance being less than either coil individually. The coils may have different winding densities or may be at different radii or both.