The type of wire used in walkie talkie earphone
Turning the comments into an answer...

The fine wires will be enameled copper wire.  The enamel is a thin coat of insulation applied to the wire.  It's normally translucent, and can be made in different colors.  The enamel is thinner than conventional plastic insulation.

To make contact with it, for soldering or screw terminals, just scrape off the enamel at the ends.