Figure P3.1 shows the cross-section of an iron core of constant depth 0.5 cm. The core carries an N-turn coil on each of the outer limbs. These coils are connected in series and a constant current I flows 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 Hi, within the iron, is constant at 1000 At/m and N= 250 turns. Jh = 4Ttx10- H/ml

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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-turn
coil
10-2E
4.0
m
N= 250 turns. Jh = 4Tx10-7 H/ml
d
e
0.5
Fig. P3.1
(ii) Fınd 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?
(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?
Transcribed Image 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-turn coil 10-2E 4.0 m N= 250 turns. Jh = 4Tx10-7 H/ml d e 0.5 Fig. P3.1 (ii) Fınd 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? (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?
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