An electrical transformer system using helical electrodes applied to a plasma. Systems and methods transform DC voltages and currents to different DC voltages and currents. Instead of using wires and iron cores similar to known transformers, the present DC to DC transformer system exploits plasma, helical electrodes, an axial magnetic field and radial magnetic field coils, with a control system to specify a radial magnetic field at the edge of a specified magnitude. A DC input voltage is applied, and an output is taken from electrodes at opposite the ends of the central apparatus. The system and apparatus contains a radial magnetic field embedded in the helical electrodes; the secondary current is taken from either solid or split (slotted) electrodes. Methods are disclosed for changing the output voltage and current relative to the input values. The system can function as either a stepup or a stepdown transformer.