Low AC resistance conductor designs

A magnetic resonator comprising:

• a plurality of conductor layers in a printed circuit board with a plurality of conductor traces on each one of the plurality of conductor layers;
• a plurality of vias that connect different ones of the plurality of conductor traces on different ones of the plurality of conductor layers;
• and
• a network of electrical components coupled to the plurality of conductor traces;
• wherein the plurality of conductor traces are routed between said vias to braid the plurality of conductor traces into a predetermined pattern of overlapping conductor traces, wherein the predetermined pattern is formed into at least one loop.

A stranded conductor coil comprising:

• a plurality of conductor layers in a printed circuit board;
• a plurality of conductor traces on each one of the plurality of conductor layers;
• and
• a plurality of vias arranged into two or more rows of vias that connect conductor traces on different ones of the plurality of conductor layers to form a first stranded conductor and a second stranded conductor, wherein at least one of the plurality of conductor traces has a path that is substantially diagonal to at least one of the two or more rows of vias, and wherein the first stranded conductor and the second stranded conductor share an area bounded by one of the two or more rows of vias on one of the plurality of conductor layers.