Please answer each part in a detailed manner. Thank you.
1. (a) Consider the magnetic structure shown in Figure 1. A 150-turn coil is wound uniformly on the left section. The mean lengths of the left and right sections are 4 = 13 = 50 cm, while the mean length of each of the center section is 12 = 5.75 cm as indicated. The air gap length is l, = 0.5 cm. The cross-sectional area of the center section is 5 cm², while the cross-sectional areas of the left and right sections are 2 cm² each. The relative permeability of the magnetic material is Hp = 1000 and the permeability of free space is 4mx10-'H/m. Ignore the leakage and fringing effects Vs N Figure 1 Note: Question No. I continues on page 2. 1 EE3010 (1) Draw the magnetic equivalent circuit of the magnetic circuit of Figure 1 on page 1. Find the fluxes in each of the three sections and then calculate the de current / required to cause a flux density of 0.1 T in the air gap, (ii) Calculate the energies stored in the air gap, the left section, the right section, and the center section. What is the inductance of the coil? (20 Marks) (b) Consider an electromagnetic system with one immovable part and one movable part separated by a gap distance of x, as shown in Figure 2. The force exerted by the spring is f N. The number of turns in the coil is 250. The mean lengths of the two parts are 10 cm each, while the cross-sectional areas of the two parts are 4 cm? each. The relative permeability of the magnetic material is fp = 2000 and the permeability of free space is 47x10-7H/m. antong Wall Imewear Movable part Figure 2 Calculate the force f exerted by the spring if the current required to maintain x = 2 mm is/ = 0.75 A.
Please answer each part in a detailed manner. Thank you.
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Please answer each part in a detailed manner. Thank you.
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