Mathematics
Scientific paper
Apr 1969
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1969natur.222..363h&link_type=abstract
Nature, Volume 222, Issue 5191, pp. 363-364 (1969).
Mathematics
5
Scientific paper
MATHEMATICAL expressions relating the components of the Earth's magnetic field and the components of the currents induced by this varying magnetic field in the Earth's surface-the so-called Earth currents-have been derived1-4. With the exception of Price's theory4, the resulting relations are inapplicable to induction problems in the equatorial electrojet region, because in the derivations it has been assumed that the space gradients of the inducing field are negligible. Price's theory, however, does cover the case where there are appreciable space gradients in the inducing field and yields the expressions where Ex and Ey are the N-S and E-W components of the induced field, Hx, Hy and Hz are the north, east and vertical components of the Earth's magnetic field, P is a function dependent on the spatial distribution of the magnetic potential and v is a constant dependent on the dimensions of the inducing field. In practice, the determination of a suitable function for P may be difficult, although Caner et al.5 have developed a technique-involving observations from two stations-which enables Price's theory to be applied more readily.
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