An RF EAS tag (10) includes a substrate (12) with a conductive element (14) positioned on a face surface (18) thereof and having electrically inductive properties. A capacitive element (20) is positioned on the face surface (18) and has electrically capacitive properties wherein the inductive (14) and capacitive (20) elements are operably coupled together to form a resonant circuit which resonates when an electrical signal of a predetermined resonant frequency is applied to the tag (10). The capacitive element (20) comprises a dielectric ink (22) substance having a high dielectric constant for producing the desired resonant circuit on a single face surface of the substrate. An alternative tag (50) comprises a substrate (52) with a conductive layer positioned thereon and a gap (56) formed in the conductive layer exposing a portion of the substrate. This forms a slotline waveguide shorted at both ends. A high dielectric constant ink substance (58) is then deposited in the slot. This greatly reduces the wavelength in the waveguide allowing an RF frequency 1/2 wavelength resonant line to be made of a practical length.