A toroid has an average radius of 14 cm and a cross-sectional area of 3 cm2. It is wound with fine wire, 60 turns/cm measured along its mean circumference, and the wire carries a current of 4 A. The core is filled with a paramagnetic material of magnetic susceptibility 2.9 × 10–4.

(a) What is the magnitude of the magnetic field within the substance?

(b) What is the magnitude of the magnetization?

(c) What would the magnitude of the magnetic field be if there were no paramagnetic core present?