4. A three-leg ferromagnetic core with 7 cm depth is shown in the following figure. The coilon the leftmost leg has 300 turns and 2 A current, and the coil

at the bottom has 500 turns with 1 A current. The relative permeability of the core is constant at 1600. All dimension measures are shown in the figure. Assume 5% increase in the effective areas of the air gaps due to fringing effects. a) Find 4, l2, l3, l4, l5, l6, and l7 in meters. (7 points) O Find cross-sectional area (in m²) in each of the 7 sections of the core(А1,Аz, Аз, Ад, Аs, Aб, А,). (7 роints) c) Find the reluctance of each section (R1,R2,R3,R4,R5,R6,R7) ias defined in the magnetic equivalent circuit shown below. (7 points) d) Calculate the effective cross-sectional area for each air gap due to fringing effect (UseAagı to signify the cross sectional area of the center leg air gap, a nd Aag2 to signify the cross sectional area of the other air gap). (2 points) e) Find the reluctances of the two air gaps, Ragı and Rag2. (2 points) ) Find the magneto-motive force F, and F2 produced by each coil in A.t. (2 points) Determine the polarity of each magneto-motive force source in the figure of part (c). O In the following equivalent circuit find Req1, Req2, and Req3. (3 points) i) In the circuit of part (h) use KVL and KCL to calculate the fluxes o, and ø2 in each section. Calculate the flux in the center leg and name it ø3. Show the direction of ø3. O Go back to the original magnetic equivalent circuit and calculate the flux density in the leftmost leg B1 and the rightmost leg B6 as well as the flux density in the center leg air gap Bag1.(3 points)