Conductivity and resistivity: Ohm's law

The circuit shown below has two cylindrical conductors, $\text{A}$‍ and $\text{B}$‍, of radii, $r_{\text{A}}=a$‍, and $r_{\text{B}}=3a$‍ respectively, connected in series.

The electric fields in the two conductors, $|{\mathbf{E}}_{\text{A}}|$‍ and $|{\mathbf{E}}_{\text{B}}|$‍, are such that $|{\mathbf{E}}_{\text{A}}|=9|{\mathbf{E}}_{\text{B}}|$‍.