A note on current closure

Physics – Plasma Physics

Scientific paper

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Ionosphere: Current Systems, Magnetospheric Physics: Current Systems, Magnetospheric Physics: Storms And Substorms, Space Plasma Physics: General Or Miscellaneous

Scientific paper

Contrary to what is sometimes assumed, it is mathematically impossible to write down a magnetic field of a current system that is not closed. When the Biot-Savart law is integrated over a current that ostensibly is not closed, the resulting magnetic field is that of a system containing a closure current which is uniquely determined but may neither be physically realistic nor correspond to the desired approximation.

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