Nuclear Fusion Physics and Technology/Example page

Note: Electromagnetic fieldEdit

As summarized in previous chapters, electromagnetic field is mathematical abstraction of two projections   and  , which meets Maxwell equations


and may be represented by field lines defined as


Definition: Open field lineEdit

Field line is open, when it is not closed in plasma.

Definition: Closed field lineEdit

Field line is closed, when it is closed in plasma.

Theorem: Magnetic field line equationEdit

Lets assume electromagnetic field   with field lines. Then


The theorem results from field line definition directly


which is a vector equation of three scalar equations


and thus may be written