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everywhere on ''S''. | everywhere on ''S''. | ||
In other words, the magnetic field does not ''cross'' the surface S anywhere, | In other words, the magnetic field does not ''cross'' the surface ''S'' anywhere, i.e., the magnetic flux traversing ''S'' is zero. | ||
It is then possible to define a scalar ''flux function'' (''f'') such that its value is constant on the surface ''S'', and | It is then possible to define a scalar ''flux function'' (''f'') such that its value is constant on the surface ''S'', and | ||
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[[File:Flux_definition.png|250px|thumb|right|Diagram showing the surfaces defining the poloidal (red) and toroidal (blue) flux]] | [[File:Flux_definition.png|250px|thumb|right|Diagram showing the surfaces defining the poloidal (red) and toroidal (blue) flux]] | ||
When ''B'' is a magnetic field with toroidal nested flux surfaces, two magnetic fluxes can be defined from two corresponding surfaces. | When ''B'' is a magnetic field with toroidal nested flux surfaces, two magnetic fluxes can be defined from two corresponding surfaces. | ||
<ref>R.D. Hazeltine, J.D. Meiss, ''Plasma Confinement'', Courier Dover Publications (2003) ISBN 0486432424</ref> | <ref>R.D. Hazeltine, J.D. Meiss, ''Plasma Confinement'', Courier Dover Publications (2003) {{ISBN|0486432424}}</ref> | ||
The poloidal flux is defined by | The poloidal flux is defined by | ||