Alternate derivation of the effective medium conductance above and below the critical fill in a metal‐filled polymer

Herein is more detail to microscopic aspects of electron transport through a conductor‐filled polymer than has yet been considered in the literature (irrespective of quantum mechanical tunneling and thermal expansion). Some of these details only clarify earlier theories, but others lead to new discoveries such as the cubic conduction path coordination number z = 18 (contrasted with the classical geometric coordination number of z = 6). New also are simplified derivations of the high and low fill asymptotes of the master equation for conductance as a function of fill fraction in the effective medium theory of conductor‐filled polymers.