Transport and equilibrium in field reversed mirrors with toroidal field

For a certain class of analytic equilibria, field reversal requires that a certain dimensionless parameter of the equilibrium, K, must be small: 0 K or 1/3, expanding in powers of K, simple but accurate representations of these equilibria are developed. As an example, 0 point and separatrix radius are determined in terms of parametes under an experimentalists control: poloidal flux, axial current and vacuum field. As another example, classical transport is studied for a family of spherical equilibria ranging from the high beta Hill's vortex (k = 0) to the zero beta spheromax (k = 1/3). The classical L/R time for these equilibria is Tau = (4 pi sigma sq R sub 0/sq C)(10-15 k)/1 where R sub 0 is the 0 point radius and sigma is the conductivity. The maximal toroidal field (k = 1/3, zero beta) produces decay times only twice as large as the high beta, zero toroidal field case (k = 0).