Abstract
The hydromagnetic equations are employed to obtain the conditions necessary for a pressure balance in a pinched discharge in ionized deuterium. The time dependent energy equation is integrated to give the time taken to heat the plasma by Joule heating with bremsstrahlung radiation losses only, and with a pressure balance maintained at all time. This heating time is shown to depend on the radius, line density, and final temperature of the plasma. The current density distribution during the heating process is calculated, showing only a small divergence from uniformity. The condition for no run-away electrons to be present at any time during the heating process is shown to place a restriction only on the minimum line density of the particles. The effect of an unbalance of pressure, causing a change in the outside radius of the plasma during the heating process, is discussed. Finally, the utilization of a transient energy source and its relation to discharge parameters is considered.
Published Version
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