Nuclear Fusion Physics and Technology/Example page
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Note: Electromagnetic field[edit | edit source]
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 line[edit | edit source]
Field line is open, when it is not closed in plasma.
Definition: Closed field line[edit | edit source]
Field line is closed, when it is closed in plasma.
Theorem: Magnetic field line equation[edit | edit source]
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