Consider a long solenoid with a core that is an iron alloy (see Problem 8.1 for the relevant formulas). Suppose that the diameter of the solenoid is 2 cm and the length of the solenoid is 20 cm. The number of turns on the solenoid is 200. The current is increased until the core is magnetized to saturation at about I = 2 A and the saturated magnetic field is 1.5 T. a. What is the magnetic field intensity at the center of the solenoid and the applied magnetic field, µoH, for saturation?
b. What is the saturation magnetization Msat of this iron alloy?
c. What is the total magnetization current on the surface of the magnetized iron alloy specimen?
d. If we were to remove the iron-alloy core and attempt to obtain the same magnetic field of 1.5 T inside the solenoid, how much current would we need? Is there a practical way of doing this?