Recently, there have been several proposals to build low-aspect-ratio
or spherical tokamaks with plasma currents in the range of 1 MA. These
low-aspect-ratio tokamaks employ conventional engineering, except in
the central core, which contains the central toroidal field conductors
and an ohmic heating solenoid (if present). To achieve low aspect rat
ios, these components must be engineered to the limits of stress and t
hermal properties. Solutions are found for the steady-state cooling of
the toroidal field conductors. The solenoid, which must be high perfo
rmance to produce the flux swing required for a I-MA plasma current, c
annot be cooled steady state. The mathematics and procedures necessary
to study these issues are given.