Question

A steady current is flowing in a cylindrical conductor within conductor r

Answer 1

In an ideal conductor, one whose resistivity is zero, there would be no internal electric field. Real conductors, such as copper wires, are resistive and must have an electric field pointing in the direction of current flow, i.e. on the length of that cylinder, to enable the current flow.

The field can be calculated using Ohm's law. If a  uniform conductor of length L requires a voltage V to enable a   current I then the field is:

E=V/RE=V/R  and the voltage V is found from:

V=I⋅R