Figure P3.1 shows the cross-section of an iron core of constant depth 0.5 cm. The core carries an N-turn coil on each of the outer limbs. These coils are Dimensions in centimeters 6.0 0.5 2.0 1.0 2.0 0.5 connected in series and a constant current I flows la through them. Since the flux density is high, a single linear approximation for the magnetization curve is unacceptable. Figure P3.2 shows a three-unit piece-wise linear approximation for the magnetization curve. The magnetic field intensity Hj, within the iron, is constant at 1000 At/m and 5.0 N-turn coil N-turn coil 10-E 4.0 m N=250 turns. [µ = 4Tx107 H/m] (a) (i) Find the cross-sectional area of the center limb. (ii) Find the cross-sectional area of the abcdefa. (b) (i) Find the mean length of path efab. (iii)Find the mean length of path bn. (c) (i) Find magnetic flux in the air gap. d 0.5 Fig. P3.1 (ii) Find the mean length of path bcde. (iv) Find the mean length of path em. (ii) Find magnetic flux density 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...
icon
Related questions
icon
Concept explainers
Question

Please provide Handwritten answer

Figure P3.1 shows the cross-section of an iron core
of constant depth 0.5 cm. The core carries an N-turn
Dimensions in centimeters
6.0
coil on each of the outer limbs. These coils are
0.5
2.0
2.0
0.5
1.0
connected in series and a constant current I flows
a
through them. Since the flux density is high, a
single linear approximation for the magnetization
curve is unacceptable. Figure P3.2 shows a
three-unit piece-wise linear approximation for the
magnetization curve. The magnetic field intensity
Hj, within the iron, is constant at 1000 At/m and
5.0
N-turn
coil
n
10-I
N-turn
coil
4.0
m
N= 250 turns. [H = 4tx107 H/m]
d
e
0.5
(a) (i) Find the cross-sectional area of the center limb.
(ii) Find the cross-sectional area of the abcdefa.
(b) (i) Find the mean length of path efab.
(iii)Find the mean length of path bn.
(c) (i) Find magnetic flux in the air gap.
(d) What is the coil current I?
(f) What is the energy stored in the core?
What is the total energy stored in the system?
Fig. P3.1
(ii) Find the mean length of path bcde.
(iv) Find the mean length of path em.
(ii) Find magnetic flux density in the air gap.
(e) What is the energy Wo stored in the air gap?
Transcribed Image Text:Figure P3.1 shows the cross-section of an iron core of constant depth 0.5 cm. The core carries an N-turn Dimensions in centimeters 6.0 coil on each of the outer limbs. These coils are 0.5 2.0 2.0 0.5 1.0 connected in series and a constant current I flows a through them. Since the flux density is high, a single linear approximation for the magnetization curve is unacceptable. Figure P3.2 shows a three-unit piece-wise linear approximation for the magnetization curve. The magnetic field intensity Hj, within the iron, is constant at 1000 At/m and 5.0 N-turn coil n 10-I N-turn coil 4.0 m N= 250 turns. [H = 4tx107 H/m] d e 0.5 (a) (i) Find the cross-sectional area of the center limb. (ii) Find the cross-sectional area of the abcdefa. (b) (i) Find the mean length of path efab. (iii)Find the mean length of path bn. (c) (i) Find magnetic flux in the air gap. (d) What is the coil current I? (f) What is the energy stored in the core? What is the total energy stored in the system? Fig. P3.1 (ii) Find the mean length of path bcde. (iv) Find the mean length of path em. (ii) Find magnetic flux density in the air gap. (e) What is the energy Wo stored in the air gap?
Expert Solution
steps

Step by step

Solved in 2 steps with 3 images

Blurred answer
Knowledge Booster
8085 Microprocessor
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
Electrical Engineering
ISBN:
9780133923605
Author:
Robert L. Boylestad
Publisher:
PEARSON
Delmar's Standard Textbook Of Electricity
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:
9781337900348
Author:
Stephen L. Herman
Publisher:
Cengage Learning
Programmable Logic Controllers
Programmable Logic Controllers
Electrical Engineering
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education
Fundamentals of Electric Circuits
Fundamentals of Electric Circuits
Electrical Engineering
ISBN:
9780078028229
Author:
Charles K Alexander, Matthew Sadiku
Publisher:
McGraw-Hill Education
Electric Circuits. (11th Edition)
Electric Circuits. (11th Edition)
Electrical Engineering
ISBN:
9780134746968
Author:
James W. Nilsson, Susan Riedel
Publisher:
PEARSON
Engineering Electromagnetics
Engineering Electromagnetics
Electrical Engineering
ISBN:
9780078028151
Author:
Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher:
Mcgraw-hill Education,