The magnetic field of currents flowing in an infinite plane current sheet whose conductivity is uniform except in a circular area of different uniform conductivity is calculated when a uniform electric field acts in the sheet. The problem can illustrate the magnetic effects of solar eclipses and of meteors, and also the effect of an island on the transient geomagnetic variations. The general method of solution for an infinite plane sheet with an elliptic area of different uniform conductivity is also indicated.
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Ashour et al. (1965) studied this question.
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