# About kinematics of electrons in a circuit

We know that electrons flow in a circuit due to the electric field, so shouldn't the electrons be accelerating, but we also know that $$i=neAv$$ so from here we can conclude $$v=i/neA$$ which is a constant, and also if the electrons are accelerating in the circuit, according to Maxwell they should also generate EM waves, thus lose energy, right? Does the first part of the question have something related to Drude's equation?