Modular electrical jack including an outer housing part and an inner housing assembly connected to the outer housing part and defining one or more plug-receiving receptacles therewith. The inner housing assembly includes contact/terminal members, at least one of which includes a terminal portion adapted to be connected to a substrate, an arcuate contact portion extending into a respective plug-receiving receptacle and an intermediate bridging portion connecting the terminal portion and the contact portion. The bridging portion is inclined in relation to an inner surface of the outer housing part such that only a very short region of the bridging portion bears against the inner surface of the outer housing part and thus, remaining portions of the bridging portion are spaced from the inner surface. The construction of such contact/terminal members enables the jack to have a height less than that of contact/terminal members in existing jacks of the RJ type while providing the contact/terminal members with sufficient normal contact force to comply with FCC requirements. A communications card such as a PCMCIA card including the jack is also disclosed.