In: Physics
A toroid with inner diameter of 3 cm, outer diameter of 5 cm, and height of 0.1 cm is made of a body-centered-cubic (bcc) paramagnetic material with lattice parameter equal to 0.5 nm. The toroid is wrapped by a copper wire in 20 turns. If each atom of the magnetic material has a magnetic moment of 1.5µB (Bohr Magneton), (a) (1.5 pt) What is the saturation magnetization (in A/m) of the material? (b) (1.5 pt) If a current of 2 A is flowing in the winding, what are the magnetic fields (in A/m) in the toroid along its outer and inner diameter, respectively? (c) (1.5 pt) What is the magnetic susceptibility of the material if the inner diameter region begins to saturate at 2 A? (d) (1.5 pt) What is the magnetic flux density (in Tesla) along the outer diameter when the inner diameter is saturated at 2 A as in (c)?