A derivation of the magnetic field, created by rectangular single‐turn coils, is achieved with the aid of magnetic scalar potential. The transformation properties of spherical harmonics under rotation permit one to analyze the magnetic field of a system of several coils. Application to a four, rectangular coil system, generating a magnetic field gradient, leads to the optimal dimensions of each element of the system: h=1.732, b=2.486, when a=1 and β=45°, where a represents the half‐width of the rectangle, b its half‐length, h the distance between the origin of the reference frame and the center of each coil, and β is the angle between the directions of the normals to the planes of two neighboring coils.
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