# Is the electric field zero inside an ideal conductor carrying a current?

By an ideal conductor, I mean one with zero resistance. Inside an ideal conductor with no current, the electric field is zero, but is the electric field still zero with the ideal conductor carrying a current?

-

## but "ideal conductor" usually means that the conductor conforms to Ohm's law.

I am surprised. I always heard " ideal " as " zero resistance when constant current flows ", hence zero potential drop along the wire. Hence the answer to the original question is yes, by definition.

Conductor that conforms to Ohm's law is called " ohmic ".

-
$$\vec{j} = \sigma \vec{E},$$
where $\vec{j}$ is current density and $\sigma$ is conductivity. Hence, no electric field, no current.