Chapter 28, Problem 28.53E

A long solenoid with 60 turns of wire per centimeter carries a current of 0.15 A. The wire that makes up the solenoid is wrapped around a solid core of silicon steel (K_m = 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 $\stackrel{\to }{{\text{B}}_0}$ due to the solenoid current; (ii) the magnetization $\stackrel{\to }{\text{M}}$; (iii) the total magnetic field $\stackrel{\to }{\text{B}}$. (b) In a sketch of the solenoid and core, show the directions of the vectors $\stackrel{\to }{\text{B}}$, $\stackrel{\to }{{\text{B}}_0}$ and $\stackrel{\to }{\text{M}}$ inside the core.