Abstract: A wall-engaging apparatus for microinductively investigating a characteristic of earth formations traversed by a borehole includes an antenna set mounted in a longitudinally elongated body adapted for a sliding engagement with the wall of the borehole. The antenna set includes a conductive backplane member mounted in the body parallel to the wall-engaging face of the body and first, second, and third half-loop antenna elements. The half-loop antenna elements are coaxial located symmetrically about the half-loop of the first antenna element, with their respective ends located at the backplane member to couple image currents in the backplane. The locations of the second and third antenna elements are further selected to place the second and third antenna elements in electromagnetic symmetry relative to the first antenna element. A differential coupler is included for coupling the second and third antenna elements.