Azimuthal magnetic fields in the Earth's core.

Physics

Scientific paper

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Earth Core: Magnetic Fields

Scientific paper

The rotation of the conducting core of the earth in its own magnetic field generates both a v×B field and a competing electrostatic field -∇V. These two fields together excite toroidal currents, and therefore azimuthal magnetic fields, on the condition that v and B satisfy a certain general condition within the core. Ferraro's law of isorotation is valid, but it concerns a special case. The author calculates these azimuthal magnetic fields, first with the core rotating as a solid, and then differentially, with the angular velocity a function of the axial coordinate and a function of the radial coordinate. This straightforward calculation shows that these azimuthal fields are much weaker than is usually believed.

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