Figure P3.1 shows the cross-section of an iron core of constant depth 0.5 cm. The core carries an N-turn Dimensions in centimeters 6.0 coil on each of the outer limbs. These coils are 0.5 2.0 2.0 0.5...

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Extracted text: Figure P3.1 shows the cross-section of an iron core of constant depth 0.5 cm. The core carries an N-turn Dimensions in centimeters 6.0 coil on each of the outer limbs. These coils are 0.5 2.0 2.0 0.5 1.0 connected in series and a constant current I flows a through them. Since the flux density is high, a single linear approximation for the magnetization curve is unacceptable. Figure P3.2 shows a three-unit piece-wise linear approximation for the magnetization curve. The magnetic field intensity Hj, within the iron, is constant at 1000 At/m and 5.0 N-turn coil n 10-I N-turn coil 4.0 m N= 250 turns. [H = 4tx107 H/m] d e 0.5 (a) (i) Find the cross-sectional area of the center limb. (ii) Find the cross-sectional area of the abcdefa. (b) (i) Find the mean length of path efab. (iii)Find the mean length of path bn. (c) (i) Find magnetic flux in the air gap. (d) What is the coil current I? (f) What is the energy stored in the core? What is the total energy stored in the system? Fig. P3.1 (ii) Find the mean length of path bcde. (iv) Find the mean length of path em. (ii) Find magnetic flux density in the air gap. (e) What is the energy Wo stored in the air gap?