An inversion of problem 720 a solid nonmagnetic conductor

Question

(An inversion of Problem 7.20.) A solid, nonmagnetic conductor of circular cross section has a radius of 2 mm. The conductor is inhomogeneous, with σ = 10⁶(1 + 106ρ²) S/m. If the conductor is 1 m in length and has a voltage of 1 mV between its ends, find:

(a) H inside;

(b) the total magnetic flux inside the conductor