  Rigid electron rotation of a fully penetrated Rotamak-FRC produces a pressure
flux function that is more peaked than the Solov'ev flux function. This paper
explores the implications of this peaked pressure flux function, including the
isothermal case, which appear when the temperature profile is broader than the
density profile, creating both benefits and challenges to a Rotamak-FRC based
fusion reactor. In this regime, the density distribution becomes very peaked,
enhancing the fusion power. The separatrix has a tendency to become oblate,
which can be mitigated by flux conserving current loops. Plasma extends outside
the separatrix, notably in the open field line region. This model does not
apply to very kinetic FRCs or FRCs in which there are significant ion flows,
but it may have some applicability to their outer layers.
