(Solved): b) Figure Q3 shows a toroid with a rectangular cross-section, of inner radius ry and outer radius ...

b) Figure Q3 shows a toroid with a rectangular cross-section, of inner radius ry and outer radius r2, and height d. The toroid has N windings around its core carrying a current I. The core has relative magnetic permeability Mr. i. Using Ampere's law in a suitable form, derive the magnetic flux density B(r) of the toroid. ii. Determine the magnetic flux 0 through the toroid. (Hint: You will need to use integration.] iii. Sketch the lines of magnetic flux density around (inside and outside) the toroid, indicating clearly how they relate to the direction of the current in the windings. N turns d Figure Q3 c) Derive expression for inductance L of the toroid described in part (b) and in Figure Q3.