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Homotopy formulas for the magnetic vector potential and magnetic helicity: The Parker spiral interplanetary magnetic field and magnetic flux ropes - Webb - 2010 - Journal of Geophysical Research: Space Physics - Wiley Online Library
Especially if a computer is to be used, it is often most practical to work directly with the magnetic field intensity. The Biot-Savart law, (8.2.7) in Table 8.7.1, gives H directly as an integration over the given distribution of current density.
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