Nuclear Fusion Physics and Technology/Example page

< Nuclear Fusion Physics and Technology

Contents

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