A linear motor for high velocity drive has a transformer which has a magnetic circuit with a central limb; the two ends of stacked unit- or fractional-turn secondary winding of the transformer project at an angle to the longitudinal axis of the central limb; an armature links the two ends, sliding parallel to the longitudinal axis. The armature has dielectrics to form two series-connected capacitors in conjunction with the two ends. The transformer's primary winding is connected to an ac or pulse power source. The resonant frequency for the LC circuit formed by the two capacitors in series to the total effective inductance of the power source, the electric transformer and the armature is determined. The frequency or the pulse rise time of the power source is matched to the resonant frequency, in order to supply adequate electric power from the power source to the series LC circuit.