1. A magnetic circuit containing a toroidal ferromagnetic core with a narrow air-gap is shown in Fig. 1.1. The toroidal ferromagnetic core has a circular cross-section and is made from soft cast steel (magnetisation curves are given in Fig. 1.2). The core is excited by two coils: Coil 1 (N₁ = 1500 turns) with terminals A and B, and Coil 2 (N₂ = 500 turns) with terminals C and D. The magnetic flux density in the core is Be = 0.7 T. Magnetic flux density, T B Air-gap 1, = 0.5 mm I (A) R₁ = 100 mm A Coil 1 (1500 turns) R₂ = 140 mm Coil 2 (500 turns) ° 1.5 Figure 1.1. 1.4 1.3 1.2 Nickel-iron alloy 1.1 10 0.9 Medium silicon sheet stee Soft cast steel 0.8 0.7 0.6 Cast iron 0.5 0.4 0.3 0.2 0.1 10 20 30 40 60 80 100 200 300 400 600 Magnetic field intensity, At/m 1000 2000 4000 10,000 (a) In magnetic circuit analysis, what is meant by the term 'fringing', and how are the effects of fringing usually accounted for in the calculation process? (b) Calculate the mean flux path length l of the magnetic core. (c) Calculate the reluctance Re (H¹) of the magnetic core. (d) Calculate the reluctance R, (H-1) of the air-gap. (Hint: As the air-gap is very narrow you can ignore the effects of fringing.) (e) Calculate the magnetic flux (Wb). (f) If terminal B (of Coil 1) is connected to terminal D (of Coil 2), calculate the current I required to establish a magnetic flux density B, = 0.7 T in the air-gap. (g) If terminal B (of Coil 1) is disconnected from terminal D (of Coil 2) and reconnected to terminal C (of Coil 2), calculate the new current I' required to establish a magnetic flux density B, = 0.7 T in the air-gap.
1. A magnetic circuit containing a toroidal ferromagnetic core with a narrow air-gap is shown in Fig. 1.1. The toroidal ferromagnetic core has a circular cross-section and is made from soft cast steel (magnetisation curves are given in Fig. 1.2). The core is excited by two coils: Coil 1 (N₁ = 1500 turns) with terminals A and B, and Coil 2 (N₂ = 500 turns) with terminals C and D. The magnetic flux density in the core is Be = 0.7 T. Magnetic flux density, T B Air-gap 1, = 0.5 mm I (A) R₁ = 100 mm A Coil 1 (1500 turns) R₂ = 140 mm Coil 2 (500 turns) ° 1.5 Figure 1.1. 1.4 1.3 1.2 Nickel-iron alloy 1.1 10 0.9 Medium silicon sheet stee Soft cast steel 0.8 0.7 0.6 Cast iron 0.5 0.4 0.3 0.2 0.1 10 20 30 40 60 80 100 200 300 400 600 Magnetic field intensity, At/m 1000 2000 4000 10,000 (a) In magnetic circuit analysis, what is meant by the term 'fringing', and how are the effects of fringing usually accounted for in the calculation process? (b) Calculate the mean flux path length l of the magnetic core. (c) Calculate the reluctance Re (H¹) of the magnetic core. (d) Calculate the reluctance R, (H-1) of the air-gap. (Hint: As the air-gap is very narrow you can ignore the effects of fringing.) (e) Calculate the magnetic flux (Wb). (f) If terminal B (of Coil 1) is connected to terminal D (of Coil 2), calculate the current I required to establish a magnetic flux density B, = 0.7 T in the air-gap. (g) If terminal B (of Coil 1) is disconnected from terminal D (of Coil 2) and reconnected to terminal C (of Coil 2), calculate the new current I' required to establish a magnetic flux density B, = 0.7 T in the air-gap.
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
Related questions
Question
Please answer all parts of the question with step by step working and explanantions so i understand the questions and solution better thank you.
Transcribed Image Text:1. A magnetic circuit containing a toroidal ferromagnetic core with a narrow air-gap is shown
in Fig. 1.1. The toroidal ferromagnetic core has a circular cross-section and is made from
soft cast steel (magnetisation curves are given in Fig. 1.2). The core is excited by two coils:
Coil 1 (N₁ = 1500 turns) with terminals A and B, and Coil 2 (N₂ = 500 turns) with terminals
C and D. The magnetic flux density in the core is Be = 0.7 T.
Magnetic flux density, T
B
Air-gap
1, = 0.5 mm
I (A)
R₁ = 100 mm
A
Coil 1
(1500 turns)
R₂ = 140 mm
Coil 2
(500 turns)
°
1.5
Figure 1.1.
1.4
1.3
1.2
Nickel-iron alloy
1.1
10
0.9
Medium silicon sheet stee
Soft cast steel
0.8
0.7
0.6
Cast iron
0.5
0.4
0.3
0.2
0.1
10
20
30 40 60 80 100
200 300 400 600
Magnetic field intensity, At/m
1000
2000
4000
10,000
Transcribed Image Text:(a) In magnetic circuit analysis, what is meant by the term 'fringing', and how are the
effects of fringing usually accounted for in the calculation process?
(b) Calculate the mean flux path length l of the magnetic core.
(c) Calculate the reluctance Re (H¹) of the magnetic core.
(d) Calculate the reluctance R, (H-1) of the air-gap. (Hint: As the air-gap is very narrow
you can ignore the effects of fringing.)
(e) Calculate the magnetic flux (Wb).
(f) If terminal B (of Coil 1) is connected to terminal D (of Coil 2), calculate the current I
required to establish a magnetic flux density B, = 0.7 T in the air-gap.
(g) If terminal B (of Coil 1) is disconnected from terminal D (of Coil 2) and reconnected
to terminal C (of Coil 2), calculate the new current I' required to establish a magnetic
flux density B, = 0.7 T in the air-gap.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 9 images
Recommended textbooks for you
Introductory Circuit Analysis (13th Edition)
Electrical Engineering
ISBN:
9780133923605
Author:
Robert L. Boylestad
Publisher:
PEARSON
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:
9781337900348
Author:
Stephen L. Herman
Publisher:
Cengage Learning
Programmable Logic Controllers
Electrical Engineering
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education
Introductory Circuit Analysis (13th Edition)
Electrical Engineering
ISBN:
9780133923605
Author:
Robert L. Boylestad
Publisher:
PEARSON
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:
9781337900348
Author:
Stephen L. Herman
Publisher:
Cengage Learning
Programmable Logic Controllers
Electrical Engineering
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education
Fundamentals of Electric Circuits
Electrical Engineering
ISBN:
9780078028229
Author:
Charles K Alexander, Matthew Sadiku
Publisher:
McGraw-Hill Education
Electric Circuits. (11th Edition)
Electrical Engineering
ISBN:
9780134746968
Author:
James W. Nilsson, Susan Riedel
Publisher:
PEARSON
Engineering Electromagnetics
Electrical Engineering
ISBN:
9780078028151
Author:
Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher:
Mcgraw-hill Education,