The x-ray emission from a star like the sun comes from plasma at 10(6)
-10(7) K and 10(10) ions cm(-3) trapped in the 100 Gauss bipolar magne
tic fields of active regions. The x-ray intensity reaches 10(7) ergs c
m(-2) s(-1), which is a measure of the heat input required to maintain
the temperature of the emitting gas. The basic energy input is photos
pheric convection, which swirls and intermixes the photospheric footpo
ints of the bipolar magnetic fields, thereby creating an interlaced to
pology of the field lines in the bipolar field above the photosphere.
The basic theorem of magnetostatics asserts that almost all field topo
logies develop internal tangential discontinuities as the held relaxes
to equilibrium. The discontinuities are a necessary and sufficient co
ndition for the Maxwell stresses to achieve static balance. It appears
that rapid reconnection across these internal current sheets provides
the principal heat source for the x-ray corona.