Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN: 9780133923605
Author: Robert L. Boylestad
Publisher: PEARSON
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Q.1
(a) A certain magnetic circuit consisting of three parts, A, B and C in series. Part A
has a length of 200 mm and a cross-sectional area of 400 mm². Part B has a length
of 300 mm and a cross-sectional area of 300 mm². Part C is an airgap 1 mm in
length and of cross-sectional area 350 mm². The magnetic characteristic for parts
A and B is given by:
H (A/m)
B (T)
(b)
(ii)
400
0.7
Neglecting magnetic leakage and fringing.
(i)
500
0.8
630
0.9
(i)
800
1.0
Sketch the magnetic equivalent circuit for the system.
Determine the m.m.f. necessary to produce a flux of 0.3 mWb in the airgap.
(iii) Calculate the current required to produce the m.m.f. in Q.1(a)(ii) if N is
100.
1100
1.1
(iv) Given that the maximum flux density, Bmax for the material is 1.15 T.
Estimate the flux density of magnetic material in part A and B when the
current in Q.1(a)(iii) is tripled.
(v) Suggest a method to avoid condition in Q.1(a)(iv).
A ferromagnetic ring of cross-sectional 700 mm² and of mean radius 150
mm has two windings connected in series, one of 500 turns and another is
1000 turns. If the relative permeability is 1000,
Calculate the self-inductance of each coil and the mutual inductance,
assuming that there is no flux leakage.
(ii) State two applications of mutual inductance.
ELHAH
ERA
IBA
CA
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Transcribed Image Text:Q.1 (a) A certain magnetic circuit consisting of three parts, A, B and C in series. Part A has a length of 200 mm and a cross-sectional area of 400 mm². Part B has a length of 300 mm and a cross-sectional area of 300 mm². Part C is an airgap 1 mm in length and of cross-sectional area 350 mm². The magnetic characteristic for parts A and B is given by: H (A/m) B (T) (b) (ii) 400 0.7 Neglecting magnetic leakage and fringing. (i) 500 0.8 630 0.9 (i) 800 1.0 Sketch the magnetic equivalent circuit for the system. Determine the m.m.f. necessary to produce a flux of 0.3 mWb in the airgap. (iii) Calculate the current required to produce the m.m.f. in Q.1(a)(ii) if N is 100. 1100 1.1 (iv) Given that the maximum flux density, Bmax for the material is 1.15 T. Estimate the flux density of magnetic material in part A and B when the current in Q.1(a)(iii) is tripled. (v) Suggest a method to avoid condition in Q.1(a)(iv). A ferromagnetic ring of cross-sectional 700 mm² and of mean radius 150 mm has two windings connected in series, one of 500 turns and another is 1000 turns. If the relative permeability is 1000, Calculate the self-inductance of each coil and the mutual inductance, assuming that there is no flux leakage. (ii) State two applications of mutual inductance. ELHAH ERA IBA CA
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