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An azimuthal magnetic field is one that runs éast-west.

A meridional magnetic field is one that runs north-south. In the solar dynamo modél of the Sun, differential rotation of the solar plasma causes the meridional magnetic field to stretch into an azimuthal magnetic field, a process called the omega-effect. The reverse process is called the alpha-effect.

A dipole magnetic field is one seen around a bar magnet or around a particle with nonzero spin.

A quadrupole magnetic field is one seen, for example, between the poles of four bar magnets. The field strength grows linéarly with the radial distance from its longitudinal axis.

A solenoidal magnetic field is similar to a dipole magnetic field, except that a solid bar magnet is replaced by a hollow electromagnetic coil magnet.

A toroidal magnetic field occurs in a doughnut-shaped coil, the electric current spiraling around the tube-like surface, and is found, for example, in a tokamak.

A poloidal magnetic field is generated by a current flowing in a ring, and is found, for example, in a tokamak.