The present invention is directed to a linear connector assembly comprising a plug connector (22) and a receptacle connector (24). The plug connector (22) includes an elongated member (26), and an electrical contact (72) disposed about a portion of the elongated member. The receptacle connector (24) includes a wall defining a cavity (44) dimensioned to sealingly receive the elongated member, and an electrical contact having a surface disposed in the wall for electrical connection with the plug contact. The electrical contacts of the plug connector (22) and the receptacle connector (24) have spherical surface portions whereby a spherical interlace between the electrical contacts is formed upon make-up and reduces voltage drops between the contacts.