dV/dx=E E*q=F=m*a dq/dt=I v/R=I Say you have a situation where you have a constant DC current in a conductor. Applying the above equations to this situations seems to lead to a contradiction, so I’m confused. -So if you have constant DC current then that indicates dq/dt is a constant -If dq/dt is a constant the velocity of the electrons is not changing -However in order to have a current you need a voltage difference and if you have a voltage difference you have an electric field. -If you apply an electric field applied to electrons, you have a non-zero force on them. The force indicates that the electrons are accelerating. -If the electors are accelerating this indicates their velocity is not constant, and hence dq/dt would not be a constant, which contradicts the first statement above. Where did I go wrong in my reasoning?