A long solenoid with 60 turns of wire per centimetre carries a current of 0.15 A. The wire that makes up the solenoid is wrapped around a solid core of silicon steel (Km = 5200). (The wire of the solenoid is jacketed with an insulator so that none of the current flows into the core.)
(a) For a point inside the core, find the magnitudes of (i) the magnetic field B0 due to the solenoid current; (ii) the magnetization M; (iii) the total magnetic field B.
(b) In a sketch of the solenoid and core, show the directions of the vectors B, B0, and M inside the core.