The parameter ranges and scaling laws of a small scale straight Extrap experiment were investigated in which a pinched plasma column was stabilized by an imposed inhomogeneous magnetic vacuum field. The relations between the characteristics plasma parameters and their possible ranges of stable and quasisteady equilibrium, as obtained from the results of earlier investigations on the momentum and heat balance, kink stability, and plasma-neutral gas interaction, are discussed. Scaling laws are obtained for the pinch radius, the plasma density, the temperature, and the electrode voltage as functions of the pinch current, the pinch length, and the neutral filling density. From these laws the achievable maximum plasma temperature can be calculated. Additional losses, such as from impurity radiation and Bohm diffusion, modify the scaling as well as the corresponding changes in the resistivity.
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