How does electric current flow along a conductor, when electric field is applied along the length of conductor ?

Electric current flowing through a conductor depends

The electric field inside a conductor

A steady electric current is flowing through a cylindrical conductor i) The electric field at the axis of conductor due to the current is zero ii) The magnetic field at the axis of the conductor is zero iii) The Electric field in the vicinity of the conductor is zero iv) The magnetic field in the vicinity of the conductor is zero

Electric current is flowing in a conductor. Can we say the conductor is charged ?

Is there any electric field inside a current carrying conductor?