5. (34 points) A ferromagnetic core with a constant relative permeability of 2000 is shown in the following figure. The core depth is 6 cm, and all dimensions are as shown in the figure. The air gap length on the leftmost column of the core is 0.01 cm. Because of fringing effects, the effective area of the air gaps is 8 percent larger than its physical size. If there are 150 turns in the coil wrapped around the center leg of the core, a) Draw the magnetic equivalent circuit of the system. (3 points) b) Find 1, l2, 13, l4, Is, l6, and l in meters. (7 points) c) Find cross-sectional areas in each region of the core in mand name them as A, A2, A3, A, As, Ae6, A7, as well as Aagfor the air gap considering the fringing effects. (8 points) d) Find all reluctances in the equivalent circuit. (8 points) e Find the magnetomotive force produced by the coil. (2 points) f Find the flux flowing through the air gap. (3 points) g) Find the flux density in the air gap. (3 points) 10 em 0.01 em 30 em 150 turns Core Depth-6 em