
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN: 9780133923605
Author: Robert L. Boylestad
Publisher: PEARSON
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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
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step 1: Summarize the given information.
VIEW Step 2: (a) (i) Draw magnetic equivalent circuit.
VIEW Step 3: (a) (ii) Determine total MMF.
VIEW Step 4: (a) (iii) Determine current for 100 turns.
VIEW Step 5: (a) (iv) Estimate maximum flux densities.
VIEW Step 6: (a) (v) Explain method to avoid magnetic saturation.
VIEW Step 7: (b) (i) Determine self and mutual inductance.
VIEW Step 8: (b) (ii) Explain application of mutual inductance.
VIEW Solution
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