In a system for wirelessly transferring power from a primary side across an airgap to a secondary side, the secondary side includes two parallel resonating circuits (27) each including two parallel resonating paths with a series connection of a resonating inductor (28), and a resonating capacitor 29. A rectifier (21) is connected to the output of each resonating path for converting the AC output (12′) of the resonating paths to a DC output (13′). The outputs of the rectifiers (21) are connected in parallel to provide the AC output power (13) to a load such as a battery or the like. Each resonating path further includes a symmetry inductance connected in series to improve current sharing among the resonating paths and to reduce the higher harmonic portion in the resonating paths. For balancing the flux each resonating circuit 27 includes in a preferred embodiment of the invention a symmetry winding (30) wound on the same core as the resonating inductor 28 of that resonating path where all symmetry windings (3) are connected in parallel to ensure optimal flux sharing.