Abstract
Relaxed (force-free) toroidal plasmas, that is described by the equations (sic) = (del) over right arrow x (B) over right arrow = mu(B) over right arrow, still arises an importance and interest in the field of nuclear fusion. In this article we solve numerically, the relaxed state equation for a CT of arbitrary aspect ratio alpha and arbitrary geometrical cross sections. The results obtained are in agreement with that of toroids of very large alpha. Dependence of eigenvalues mu on aspect ratio alpha is also obtained. Several runs of the program with various wave numbers k showed that mu is very insensitive to the choice of k. Generally speaking, it is shown that the numerical collocation method used here, works quite well for CT with tight aspect ratio and arbitrary cross section. It gives, with high accuracy, the zero field eigenvalues of the relaxed force-free equation. A good fulfillment of the boundary condition, which describes the relaxed state along the whole boundary for different cross sections, is achieved.