Electric Machinery and Power System Fundamentals
1st Edition
ISBN: 9780072291353
Author: Stephen J. Chapman, Stepehn J. Chapman
Publisher: McGraw-Hill Companies, The
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 1, Problem 1.8P
A core with three legs is shown in Figure P1-5. Its depth is 5 cm, and there are 100 turns on the leftmost leg. The relative permeability of the core can be assumed to be 2000 and constant. What flux exists in each of the three legs of the core? What is the flux density in each of the legs? Assume a 5 percent increase in the effective area of the air gap due to fringing effects.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
A ferromagnetic core is shown in Figure Pl-2. The depth of the core is 5 cm. The other dimensions of
the core are as shown in the figure. Find the value of the current that will produce a flux of 0.005 Wb.
With this current, what is the flux density at the top of the core? What is the flux density at the right side
of the core? Assume that the relative permeability of the core is 800.
1-5.
10 cm-
5em
20 em
15 cm
15 cm
15 cm
Coe depth - Scm
SOLUTION There are three regions in this core. The top and bottom form one region, the left side forms a
second region, and the right side forms a third region. If we assume that the mean path length of the flux
is in the center of each leg of the core, and if we ignore spreading at the corners of the core, then the path
lengths are I, = 2(27.5 cm) = 55 cm, I, = 30 cm, and /, = 30 cm. The reluctances of these regions are:
A ferromagnetic core is shown in Figure PI-2. The depth of the core is 5 cm. The
other dimensions of the core are as shown in the figure. Find the value of the
current that will produce a flux of 0.005 Wb. With this current, what is the flux
density at the top of the core? What is the flux density at the right side of the core?
Assume that the relative permeability of the core is 1000.
-10 cm-
- 20 cm-
15 cm
400 turns
15 cm
15 cm
Core depth
5 cm
A core with three legs is shown in the figure below. Its depth is 5 cm, and there are 400 turns on the centre leg. The remaining dimensions are shown in the figure. The core is composed of steel having the magnetization curve is also given below. Answer the following questions about this core:
1. What current is required to produce a flux density of 0.5 T in the central leg of the core?
2. What current is required to produce a flux density of 1.0 T in the central leg of the core? Is it twice the current in part (a)?
3. What are the reluctances of the central and right legs of the core under the conditions in part (a)?
4. What are the reluctances of the central and right legs of the core under the conditions in part (b)?
5. What conclusion can you make about reluctances in real magnetic cores?
Chapter 1 Solutions
Electric Machinery and Power System Fundamentals
Ch. 1 - What is torque? What role does torque play in the...Ch. 1 - What is Amperes law?Ch. 1 - What is magnetizing intensity? What is magnetic...Ch. 1 - How does the magnetic circuit concept aid in the...Ch. 1 - What is reluctance?Ch. 1 - What is a ferromagnetic material? Why is the...Ch. 1 - How does the relative permeability of a...Ch. 1 - Prob. 1.8QCh. 1 - What are eddy current losses? What can be done to...Ch. 1 - Why are all cores exposed to ac flux variations...
Ch. 1 - What is Faraday law?Ch. 1 - What conditions are necessary for a magnetic field...Ch. 1 - What conditions are necessary for a magnetic field...Ch. 1 - Prob. 1.14QCh. 1 - The linear machine in Figure 1-19 is running at...Ch. 1 - Just how does a decrease in flux produce an...Ch. 1 - Will current be leading or lagging voltage in an...Ch. 1 - What are real, reactive, and apparent power? What...Ch. 1 - What is power factor?Ch. 1 - Prob. 1.1PCh. 1 - A flywheel with a moment of inertia of 4kgm2 is...Ch. 1 - A force of 10 N is applied to a cylinder of radius...Ch. 1 - A motor is supplying 50Nm of torque to its load....Ch. 1 - A ferromagnetic core is shown in Figure P1-2. The...Ch. 1 - A ferromagnetic core with a relative permeability...Ch. 1 - A two-legged core is shown in Figure P1-4. The...Ch. 1 - A core with three legs is shown in Figure P1-5....Ch. 1 - A two-legged core is shown in Figure P1-4. The...Ch. 1 - A wire is shown in Figure P1-7 that is moving in...Ch. 1 - Repeat Problem 1-10 for the wire in Figure P1-8.Ch. 1 - Prob. 1.12PCh. 1 - A core with three legs is shown in Figure P1-10....Ch. 1 - A two-legged magnetic core with an air gap is...Ch. 1 - A transformer core with an effective mean path...Ch. 1 - The core shown in Figure P1-2 has the flux shown...Ch. 1 - Prob. 1.17PCh. 1 - Prob. 1.18PCh. 1 - Prob. 1.19PCh. 1 - Demonstrate that Equation (1-59) can be derived...Ch. 1 - Prob. 1.21PCh. 1 - Prob. 1.22PCh. 1 - For the linear machine of Problem 1-22: When this...
Knowledge Booster
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
- The figure shows a ferromagnetic core. The core depth is 5 cm. The other dimensions of the core can be seen in the figure. Find the value of the current produced by a flow of 0.005 Wb. With this current, specify the flux density on the right side of the core. Assume a relative core permeability of 800 and a 0.0017 cm gap between the thinnest part of the core. 15 cm N= 500 0.0017 cm 15 cm 15 cm - 10 cm af- 20 cm Depth 5 cmarrow_forwardProblem 3 A core with three legs is shown in the figure. Its depth is 5 cm, and there are 200 turns on the left most leg.100 turns on the right most leg. The relative permeability of the core can be assumed 1500 and constant. + 15 cm- 25 cm 25 om 2A 200 tums 004 cm 25 an What flux exists in each of the three legs of the core? What is the flux density in each of the legs?arrow_forwardQuestion 1 A ferromagnetic core is shown in Figure 1. The depth of the core is 5 cm. The other dimensions of the core are as shown in the figure. a) Find the value of the current that will produce a flux of 0.005 Wb. b) With this current, what is the flux density at the top of the core? c) What is the flux density at the right side of the core? Assume that the relative permeability of the core is 1000. cm -10 cm-- 20 cm 15 cm 500 turns 15 cm 15 cm Core depth 5 cm Figure 1arrow_forward
- Pls answer asap and correctlyarrow_forwardA ferromagnetic core with a relative permeability of 1500 is shown in the following figure. The depth of the core is 5 cm. Because of fringing effects, the effective area of the air gaps is 5 percent larger than their physical size. If there are 300 turns in the coil wrapped around the center leg of the core, and if the current in the coil is 1.25 A, find the magnetic flux and the field density in all three legs of the core, as well as the magnetic flux and flux density in the two air gaps.arrow_forwardA toroidal core with a mean circumference of 100 cm and a cross-sectional area of 10 cm2 is wound with 500 turns of wire. What current would be required to generate a flux of 1 mWb in the core. Assume the core has a relative permeability of 800arrow_forward
- ｗ１arrow_forwardExample(6): A magnetic circuit containing an air gap is shown in Figure below. With the dimension as marked, calculate the current in the coil to establish a flux density of 0.6 T in the air gap. The core has the B - H characteristics. Repeat above but correct for fringing and lamination. Consider SF=0.95, FF 1.08 while is as above. 2 mm) A-5cm²arrow_forwardA biped magnetic core (core) is shown in the figure. The coil on the left leg of this core (N1) has 400 turns and. the right (N2) winding has 300 turns. Coils are wound in the directions shown in the figure. The core depth is (15 cm) and the dimensions of the core are as shown in the figure How much flux (@=?) is produced by coil currents İ1 = 5 A and 12 = 10 A Assume ur = 1000 and constant Please I want the answer step by step. 50 cm * 15 cm 50 cm 15 cm 15 cm- 400 turns N₁ 300 turns N₂ 15 cm- ½ Core depth = 15 cmarrow_forward
- A core with three legs is shown in the figure below. The depth of the core is 5cm, and there are 100 turns on the leftmost leg. The relative permeability of the core can be assumed to be 2000 and constant. What flux exists in each of the three legs of the core? What is the magnetic field in each of the legs? Assume a 5percent increase in the effective area of the air gap due to fringing effects. 9 cm 9 cm 25 cm 15 cm -25 cm 9 cm 2 A 100 turns 0.05 cm 25 cm 9 cm Core depth = 5 cmarrow_forwardIt's urgent please solve asaparrow_forward4. A two-legged magnetic core with an air gap is shown in figure below. The depth of the core is 5 cm, the length of the air gap in the core is 0.07 cm, and the number of turns on the coil is 500. The magnetization curve of the core material is shown next to it. Assume a 5 percent increase in effective air-gap area to account for fringing. How much current is required to produce an air-gap flux density of 0.5 T? What are the flux densities of the four sides of the core at that current? What is the total flux present in the air gap? 10 cm 1.25 1.00 0.75 N- 500 tums 0.07 cm : 30 cm 0.50 0.25 10 cm 0.0 100 1000 30 cm Magnetizing intensity, A turns/m Depth = 5 cm [0.00131 Wb, 0.524 T, 0.262 T, 1.46 A] Flux density, Tarrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Introductory Circuit Analysis (13th Edition)Electrical EngineeringISBN:9780133923605Author:Robert L. BoylestadPublisher:PEARSON
Delmar's Standard Textbook Of ElectricityElectrical EngineeringISBN:9781337900348Author:Stephen L. HermanPublisher:Cengage Learning
Programmable Logic ControllersElectrical EngineeringISBN:9780073373843Author:Frank D. PetruzellaPublisher:McGraw-Hill Education
Fundamentals of Electric CircuitsElectrical EngineeringISBN:9780078028229Author:Charles K Alexander, Matthew SadikuPublisher:McGraw-Hill Education
Electric Circuits. (11th Edition)Electrical EngineeringISBN:9780134746968Author:James W. Nilsson, Susan RiedelPublisher:PEARSON
Engineering ElectromagneticsElectrical EngineeringISBN:9780078028151Author:Hayt, William H. (william Hart), Jr, BUCK, John A.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,
Capacitors Explained - The basics how capacitors work working principle; Author: The Engineering Mindset;https://www.youtube.com/watch?v=X4EUwTwZ110;License: Standard YouTube License, CC-BY