Flux density B, Wb/m² 2. The magnetization curves of two ferromagnetic materials (Soft-steel casting and M-19 29 Gage sheets) are shown below. 2.0 1.9 2.0 1.9 1.8 1.8 1.7 M-19 29 Gage sheets 1.7 1.6 Soft steel casting! 1.6 1.5 1.5 1.4 1.4 1.3 1.3. 1.2 1.2 1.1 1.1 1.0 0.9 0.8 1.0 -0.9 0.8 0.7 0.6 0.5 0.4 0.3 0.2 0.1 0 1000 2000 3000 4000 5000 6000 7000 Magnetizing intensity H, A-turn/m 0.7 0.6 -0.5 0.4 0.3 -0.2 0.1 (a) Estimate the permeability (p) and the relative permeability (μ) of these two materials in their linear region. (Hint: μ is the slop of B vs H curve.) (b) With reference to above figure, assume that the maximum flux density which still keeps the material in its linear magnetic region is 1.1 T (for both materials). An inductor is build with each material. Its core is = 10 cm long with the cross-sectional area of A = 1 cm². The winding has N = 100 turns. For both inductors, find the following values. (b-1) The inductance L. (b-2) The maximum peak of an ac 60 Hz voltage which still keeps the inductor within its linear region. (Hint: v(t) = NdVmax = Nwomax, w = 2πf) (b-3) The peak of excitation current when the maximum voltage is applied..

Power System Analysis and Design (MindTap Course List)
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ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
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Chapter3: Power Transformers
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Problem 3.1MCQ: The Ohms law for the magnetic circuit states that the net magnetomotive force (mmf) equals the...
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Fundamentals of Energy Systems HW 4 Q2

Flux density B, Wb/m²
2. The magnetization curves of two ferromagnetic materials (Soft-steel casting
and M-19 29 Gage sheets) are shown below.
2.0
1.9
2.0
1.9
1.8
1.8
1.7
M-19 29 Gage sheets
1.7
1.6
Soft steel casting!
1.6
1.5
1.5
1.4
1.4
1.3
1.3.
1.2
1.2
1.1
1.1
1.0
0.9
0.8
1.0
-0.9
0.8
0.7
0.6
0.5
0.4
0.3
0.2
0.1
0
1000
2000
3000
4000
5000
6000
7000
Magnetizing intensity H, A-turn/m
0.7
0.6
-0.5
0.4
0.3
-0.2
0.1
(a) Estimate the permeability (p) and the relative permeability (μ) of these
two materials in their linear region. (Hint:
μ
is the slop of B vs H curve.)
(b) With reference to above figure, assume that the maximum flux density which
still keeps the material in its linear magnetic region is 1.1 T (for both materials).
An inductor is build with each material. Its core is = 10 cm long with the
cross-sectional area of A = 1 cm². The winding has N = 100 turns. For both
inductors, find the following values.
(b-1) The inductance L.
(b-2) The maximum peak of an ac 60 Hz voltage which still keeps the inductor
within its linear region. (Hint: v(t) = NdVmax = Nwomax, w = 2πf)
(b-3) The peak of excitation current when the maximum voltage is applied..
Transcribed Image Text:Flux density B, Wb/m² 2. The magnetization curves of two ferromagnetic materials (Soft-steel casting and M-19 29 Gage sheets) are shown below. 2.0 1.9 2.0 1.9 1.8 1.8 1.7 M-19 29 Gage sheets 1.7 1.6 Soft steel casting! 1.6 1.5 1.5 1.4 1.4 1.3 1.3. 1.2 1.2 1.1 1.1 1.0 0.9 0.8 1.0 -0.9 0.8 0.7 0.6 0.5 0.4 0.3 0.2 0.1 0 1000 2000 3000 4000 5000 6000 7000 Magnetizing intensity H, A-turn/m 0.7 0.6 -0.5 0.4 0.3 -0.2 0.1 (a) Estimate the permeability (p) and the relative permeability (μ) of these two materials in their linear region. (Hint: μ is the slop of B vs H curve.) (b) With reference to above figure, assume that the maximum flux density which still keeps the material in its linear magnetic region is 1.1 T (for both materials). An inductor is build with each material. Its core is = 10 cm long with the cross-sectional area of A = 1 cm². The winding has N = 100 turns. For both inductors, find the following values. (b-1) The inductance L. (b-2) The maximum peak of an ac 60 Hz voltage which still keeps the inductor within its linear region. (Hint: v(t) = NdVmax = Nwomax, w = 2πf) (b-3) The peak of excitation current when the maximum voltage is applied..
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