A method and apparatus for removing soluble and insoluble contaminants from highly purified and ultra-pure liquids having a bulk resistivity in excess of one megohm-centimeter by establishing laminar flow of the liquid in a cylindrical chamber through an electromagnetic field transverse to the direction of flow, to induce mobility of the constituents. The wall of the chamber forms a cathode and a central rod forms an anode in the chamber. The mobilized constituents are transported either to the anode or the cathode, where the material will adhere and agglomerate with other constituents. Systems are provided utilizing the method and apparatus for purifying and analytically evaluating highly purified and ultra-pure water.