Consequences of a generalized Ohm's law for magnetic transport in conducting media

The consequences for magnetic transport of a generalized Ohm's law that includes the inertia of electrons are explored. For metals, this law coincides with the Drude model for electronic conduction. A formula for the absorption coefficient in a rigid conductor is derived. It is found that the stronger the inertial effects the higher the attenuation of the field in the conductor. Also, in the low-frequency limit the decay time of the field inside a conductor is found to be larger than the one obtained with the ordinary Ohm's law. The case of an ionized gas is also briefly discussed.