Problem

Figure 18.30 shows the B-versus-H curve for a steel alloy.(a) What is the saturation flux...

Figure 18.30 shows the B-versus-H curve for a steel alloy.

(a) What is the saturation flux density?


(b) What is the saturation magnetization?


(c) What is the remanence?


(d) What is the coercivity?


(e) On the basis of data in Tables 18.5 and 18.6, would you classify this material as a soft or hard magnetic material? Why?

Figure 18.30 Complete magnetic hysteresis loop for a steel alloy.

Table 18.5 Typical Properties for Several Soft Magnetic Materials

Material

Composition (wt%)

Initial Relative Permeability µi

Saturation Flux Density Bs [tesla (gauss)]

Hysteresis Loss/Cycle J/m3 (erg/cm3)]

Resistivity ρ (Ω m)

Commercial iron ingot

99.95 Fe

150

2.14 (21,400)

270 (2,700)

1.0 × 10–7

Silicon–iron (oriented)

97 Fe, 3 Si

1,400

2.01 (20,100)

40 (400)

4.7 × 10–7

45 Permalloy

55 Fe, 45 Ni

2,500

1.60 (16,000)

120 (1,200)

4.5 × 10–7

Supermalloy

79 Ni, 15 Fe, 5 Mo, 0.5 Mn

75,000

0.80 (8,000)

6.0 × 10–7

Ferroxcube A

48 MnFe2O4, 52 ZnFe2O4

1,400

0.33 (3,300)

~40 (~400)

2,000

Ferroxcube B

36 NiFe2O4, 64 ZnFe2O4

650

0.36 (3,600)

~35 (~350)

107

Table 18.6 Typical Properties for Several Hard Magnetic Materials

Material

Composition (wt%)

Remanence Br [tesla (gauss)]

Coercivity Hc [amp-turn/m (Oe)]

(BH)max[kJ/m3 (MGOe)]

Curie Temperature Tc CF)]

Resistivity ρ (Ω m)

Tungsten steel

 

92.8 Fe, 6 W,

0.5 Cr, 0.7 C

 

0.95

9,500)

5,900

(74)

2.6

(0.33)

760

(1,400)

3.0 × 10−7

Cunife

20 Fe, 20 Ni,

60 Cu

 

0.54

(5,400)

44,000

(550)

12

(1.5)

410

(770)

1.8 × 10−7

Sintered alnico 8

34 Fe,7 Al,

15 Ni, 35 Co,

4 Cu, 5 Ti

 

0.76

(7,600)

125,000

(1,550)

36

(4.5)

860

(1,580)

Sintered ferrite 3

BaO–6Fe2O3

 

0.32

(3,200)

240,000

(3,000)

20

(2.5)

450

(840)

~104

Cobalt rare earth 1

BaO–6Fe2O3

 

0.92

(9,200)

720,000

(9,000)

170

(21)

725

(1,340)

5.0 × 10−7

Sintered neodymium– iron–boron

Nd2Fe14B

1.16

(11,600)

848,000

(10,600)

255

(32)

310

(590)

1.6 × 10−6

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