The disclosure provides apparatus and method for estimating an electrical property downhole. The apparatus, in one aspect, includes an antenna that comprises a unitary metallic member that has a longitudinal axis and a radial axis, at least one slot made in the metallic member and an electrical conductor over the at least one slot to form an antenna. In one aspect, a high magnetic permeability material may be placed between the electrical conductor and a bottom of the slots. The antenna may be configured to operate as a transmitter for transmitting electromagnetic signals into a formation or a receiver for receiving electromagnetic signals from the formation.