Some general scaling laws for the (idealized) linear theta pinch are derived with the magnetic field strength as the independent variable. These scaling laws are used to calculate machine parameters, such as length, confinement time, magnetic energy storage requirements, etc. for five potential linear theta-pinch applications of interest to CTR: (a) a confinement experiment to achieve the Lawson criterion; (2) a power-producing theta-pinch reactor; (3) a power-producing laser-heated reactor; (4) a radiation and materials test facility (FERF); and (5) a fusion/fission hybrid reactor. In each case the advantages of operating at large values of magnetic field strength are shown quantitatively. Some potential problem areas for the high-field (and therefore high-density) linear theta pinch are identified and discussed.