A method and apparatus for Magnetic Resonance Imaging with specialized imaging coils possessing high Signal-to-Noise-Ratio (SNR). Imaging and/or Radio Frequency receiving coils include a ballistic electrical conductor such as carbon nanotubes, the ballistic electrical conductor having a resistance that does not increase significantly with length. Due to their enhanced SNR properties, system designs with smaller static magnetic field strength can be constructed for the same quality of imaging, leading to substantial reductions in system size and cost, as well as to enhanced imaging with existing MRI systems.