Nuclear Fusion Physics and Technology/Example page

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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

Proof:
The theorem results from field line definition directly

which is a vector equation of three scalar equations

and thus may be written