A cable connecting structure for connecting a cable including cable cores
each having a core conductor and a core sheath to an electrical connector
in which the leading end of the cable is peeled to expose the core
conductors of the cable cores and the exposed core conductors are
connected to contacts of the electrical connector. A dielectric member
having air contained therein is arranged to cover at least part of the
exposed portions of the cable cores of the cable. With this construction,
it is possible to restrain characteristic impedances at the exposed
portions of the cable cores, which tend to become higher.