We investigate the effects of adding a ferrite core to the rf coil in a cyl
indrical inductively coupled plasma, thereby increasing the mutual inductan
ce between the rf coil and the plasma at 13.56 MHz. This could reduce resis
tive power loss, P-coil(loss) = (IcoillRcoil)-R-2, in the copper coil becau
se of lower required rf drive current to ignite and sustain a plasma. The a
ir core transformer circuit model of Piejak et al. is modified to account f
or the effects of the ferrite core on the rf circuit. Specifically, circuit
elements accounting for core power losses and the new primary inductance c
reated by the addition of the core are included. The plasma electron densit
y created by inductive drive, with and without the core was the same at the
same total rf power. Any energy savings in the copper coils are offset by
the large core losses at 13.56 MHz due to hysteresis and eddy currents.