Apparatus for supplying an r.f. field to a plasma in a vacuum plasma chamber for processing a workpiece, comprising a reactive impedance element for supplying the r.f. field to the plasma, the reactive impedance element being connected via a matching network to an r.f. source, the r.f. field having a frequency and power level sufficient to ignite the gas into the plasma and to maintain the plasma, the matching network including first and second variable reactances for controlling loading of the source and tuning a load including the reactive impedance element and the plasma to the source, a controller for (1) determining the amount the first variable reactance is to change for each unit change of the second variable reactance to attain the best match between the impedances seen looking into and out of output terminals of the r.f. source by changing the values of the first and second variable reactances, and (2) then varying the values of the first and second variable reactances based on the determination of (1) until the best impedance match between the impedances seen looking into and out of output terminals of the r.f. source is attained.