Solved: I. A toroid of Material M (BCC, a = 0.425 nm) has an inner diameter of

Question

I. A toroid of Material M (BCC, a = 0.425 nm) has an inner diameter of 14 cm, outer diameter of 25 cm, and height of 0.2 cm. The toroid is wrapped by a copper wire in 14 turns. You can assume each atom of the Material M is associated with 0.65 Bohr magnetons. a. What is the saturation magnetization of M? b. If a current of 43 A is flowing in the winding, what are the magnetic fields (in A/ m) in the toroid at its outer and inner diameter, respectively? c. If the relative magnetic permeability of the toroid material is 71, what are the magnetic flux densities (in T) at its outer and inner diameter, respectively? d. Estimate the inductance (in uH) of the toroid inductor. II. A dielectric material is sandwiched between two identical metallic plates to form a capacitor. Each plate has an area of 2300 mm2. The separation distance between the two plates is 3.25 mm. a. If the capacitance is 45 pF (1pF = 10-12F), what is the relative permittivity of the dielectric material? b. Calculate the electric susceptibility of the dielectric material. c. If each plate stores an equal and opposite charge of 13-10 C, what is the strength of the electric field in the dielectric?