Earth Is the Lords
5th Edition
ISBN: 9781121660069
Author: Caldwell, Taylor
Publisher: MCG/CREATE
expand_more
expand_more
format_list_bulleted
Concept explainers
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 solutionStudents have asked these similar questions
In figure, a magnetic flux of F is generated with a constant current of i. The core material used has a relative permeability of 4000. Assuming that the mean cross sectional area that the magnetic flux passing through in core is A=4 [cm2] and there is no fringing in air gap, N= 1000 turns and i=10 [A], lair=2 [mm].
what is the reluctance in air gap?
what is the total reluctance?
what are the flux and flux density in air gap?
Remember: µ0 = 4πx10-7
In figure, a magnetic flux of F is generated with a constant current of i. The core material used has a relative permeability of 4000. Assuming that the mean cross sectional area that the magnetic flux passing through in core is A=4 [cm2] and there is no fringing in air gap, N= 1000 turns and i=10 [A], lair=2 [mm].
what is the reluctance in air gap?
what is the total reluctance?
what are the flux and flux density in air gap?
Remember: µ0 = 4πx10-7
Answers:Rair = ___________ [At/Wb]Rtotal = _________ [At/Wb]φ = ___________ [Wb]B = ________[T]
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
Earth Is the Lords
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
- For the electromagnet of Figure-a. Find the flux density in the core.b. Sketch the magnetic flux lines and indicate theirdirection.c. Indicate the north and south poles of the magnet.arrow_forwardA magnetic pole face has a rectangular section having dimensions 200 mm by 100 mm. If the total flux emerging from the pole is 150 µWb. a) If the emerging flux of the pole is changed to 100µWb what will be the resultant density?c) When the dimensions of the magnetic pole are changed to 10m and 5m what will be the new density?d) What would happen if the magnetic pole is changed to square?arrow_forwardTo a magnetic core, with a relative permeability of 2100, a current I1 of 1 A and a current I2 of 2 A are applied, where the number of turns of the winding is 1000. The depth of the magnetic core is 20 cm. take into account that the bounded measurements are given in centimeters. The air gap shown in the figure is 0.2 cm and has an effective area equivalent to 1.1 times the cross-sectional area of the core. Determine:a) The equivalent circuit with sources and reluctance (Graph it)b) The magnetic flux of the central columnc) Magnetic induction at point Ad) Explain what would happen if the flow of current I1 is reversedarrow_forward
- Which of the following statements is false? A. Magnetic flux density is a vector, and the direction of current will be an important determinant of the direction of magnetic flux density. B. When we apply a magnetic field to the material and we want to understand how much magnetized it is, we basically investigate permeability. C. When the current on a wire reaches 3A, the free space permeability and relative permeability will not have an impact on the magnetic flux density as they cancel out each other. D. Biot-Savart Law is necessary when we need to understand the impacts of the characteristics of electric current (e.g., direction, magnitude, etc.) on magnetic field. E. If we alter the length of a current-carrying straight wire, the magnetic field is also altered.arrow_forwardAn iron ring of mean length 100 cm with an air gap of 2 mm has a winding of 500 turns. The relative permeability of iron is 600. When a current of 3 A flows in the winding, determine the flux density. Neglect fringing.arrow_forwarda. If the material is the ideal material, N1I1 = 200, NIA = 100 and NIB = 150 If I am ampersand, what is the flux density in the middle of the air gap? okay? Calculate by drawing the magnetic circuit. b. If the material is not the ideal material (µr), the core material of each winding Find the inductance in terms of parameters c. What is mutual inductance between windings? D. Check the magnetic equivalent circuit of this system that there are no leakage fluxes. draw assuming. New magnetic with leakage fluxes in mind How about a circuit, draw?arrow_forward
- A solenoid similar to the figure below, has a core made of caststeel (refer to the figure on the next slide). It has a cross-sectional area of 4cm2 and a mean length of 20cm. The coil has 100turns, and the coil current is 3.2A. Find the following:a)magnetomotive force, mmfb)magnetic field intensity, Hc)flux density, B (with graph)arrow_forwardA solenoid similar to the figure below, has a core made of cast steel (refer to the figure on the next slide). It has a cross-sectional area of 4cm2 and a mean length of 20cm. The coil has 100turns, and the coil current is 3.2A. Find the following: d)Permeability, μ e) the relative permeability, μr f) the core reluctance, R and g) the flux, Øarrow_forward. A mild steel ring of 30 cm mean circumference has a cross-sectional area of 6 cm2and has a winding of 500 turns on it. The ring is cut through at a point so as to provide an air-gap of 1 mm in the magnetic circuit. It is found that a current of 4 A in the winding, produces a flux density of 1 T in the air-gap. Find the relative permeability of the mild steelarrow_forward
- A solenoid similar to the figure below, has a core made of cast steel (refer to the figure on the next slide). It has a cross-sectional area of 4cm2 and a mean length of 20cm. The coil has 100turns, and the coil current is 3.2A. Find the following: a)magnetomotive force, mmf b)magnetic field intensity, H c)flux density, Barrow_forwardA rectangular loop carrying current I2 is placed parallel to an infinitely long filamentarywire carrying current I1 as shown in figure. Show that the force experienced by the loopis given byarrow_forwardAn iron-cored choke is designed to have an inductance of 12.5 H when operating at a flux density 3 T, the corresponding relative permeability of iron core is 1500. Determine the number of turns in the winding, given that the magnetic flux path has a mean length of 20 cm in the iron core and 2 mm in air-gap that its cross-section is 15 cm2. * ROUNDING OFF is ALLOWED only in the final answers expressed up to FIVE (5) DECIMALPLACES.arrow_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:PEARSONDelmar's Standard Textbook Of ElectricityElectrical EngineeringISBN:9781337900348Author:Stephen L. HermanPublisher:Cengage LearningProgrammable Logic ControllersElectrical EngineeringISBN:9780073373843Author:Frank D. PetruzellaPublisher:McGraw-Hill Education
- Fundamentals of Electric CircuitsElectrical EngineeringISBN:9780078028229Author:Charles K Alexander, Matthew SadikuPublisher:McGraw-Hill EducationElectric Circuits. (11th Edition)Electrical EngineeringISBN:9780134746968Author:James W. Nilsson, Susan RiedelPublisher:PEARSONEngineering 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