Rotating magnetic field current drive of FRCs subject to equilibrium constraints

The standard analysis for rotating magnetic field (RMF) current production in simple fixed density plasma columns is extended to include the critical interaction between the RMF drive and an elongated field reversed configura tion (FRC) equilibrium inside a Aux conserver. The standard analysis involv es penetration of the RMF into a highly conducting plasma through productio n of synchronous rotation of the electron fluid due to Hall terms in Ohm's law. In the present article the RMF analysis is combined with two dimension al equilibrium constraints, which have a defining role in governing the RMF penetration. Very simple analytic models are developed, based on instantan eous RMF penetration into an edge layer, that illuminate the basic paramete rs necessary for current drive and flux buildup or sustainment to be succes sful. The model does not account for time dependent RMF penetration or tran sport consistent density profiles, but it clearly points out the basic cond itions that must be satisfied, and how they scale, for RMF sustainment of F RCs to be effective.