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A magnetic field is a vector field, but if it is expressed in Cartesian components X, Y, Z, each component is the derivative of the same scalar function called the magnetic potential. Analyses of the Earth's magnetic field use a modified version of the usual spherical harmonics that differ by a multiplicative factor.
Location of the north magnetic pole and the north geomagnetic pole in 2017. [1] The magnetic-north of the earth as a magnet is actually on the southern hemisphere: The north side of magnets are by definition attracted to the geographic north, and opposite poles attract.
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