Systems and methods of forming plasma are provided. In an embodiment, a plasma generator system is provided including a container, a single coil disposed around the container, the single coil being a single member and having a first end, a second end, a first winding, and a second winding, wherein the first winding extends from the first end, and the second winding is integrally formed as part of the first winding and extends to the second end, an energy source electrically coupled directly to the first end of the single member, and a capacitor electrically coupled directly to the second end of the single member.