Polymers become conducting when they have conjugated double bonds along their carbon backbone that allow for electron movement. There are two types of conducting polymers - p-type polymers that conduct positive holes and n-type polymers that conduct negative electrons. Important examples include polyacetylene, polyaniline, and PEDOT. Potential applications of conducting polymers include uses in batteries, solar cells, LEDs, electromagnetic shielding, and anti-static coatings due to their ability to combine electrical conductivity with plastic-like mechanical properties.