Electric machinery fundamentals
5th Edition
ISBN: 9780073529547
Author: Chapman, Stephen J.
Publisher: MCGRAW-HILL HIGHER EDUCATION
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Textbook Question
Chapter 1, Problem 1.10Q
Why are all cores exposed to ac flux variations laminated?
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How are eddy current losses affected by the frequency and density of the flux wave?
Briefly explain the energy losses in a ferromagnetic core.
(a) Explain briefly what is fringing effect and leakage flux.
(b) A ferromagnetic core is shown in Figure 1. The depth of the core is 10 cm. The other
dimensions of the core are as shown in the figure. By assuming the magnetic leakage to
be negligible and relative permeability of the core is 800. Calculate the total reluctance
and find the value of the current that will produce a flux of 0.01 Wb. With this current,
calculate the flux density at the top of the core
20 cm
40 cm
10 cm,
30 cm
500 turns
30 cm
30 cm
Figure 1
Chapter 1 Solutions
Electric machinery 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...
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- (b) Briefly explain the energy losses in a ferromagnetic core.arrow_forwardAmagnetic field is being generated by a current of 2.0A flowing through 180 turns of wire on a core having a reluctance of 210000.0 At/Wb. Determine the flux of the circuit in mWb.arrow_forwardA 4-pole wave wound armature has 120 conductors and runs at 1000 rpm. If the flux per pole is 40 mWb, the emf generated is? (Our subject is Electrical Machines 1 ) (I need a clear answer and solution. Thank you so much)arrow_forward
- 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:arrow_forwardA ferromagnetic core is shown below. 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 0.003 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. 1. - 10 cm--- - 20 cm - 15 cm 500 tums 15 cm 15 cm [1.21 A, 0.4 T, 1.2 T]arrow_forwardB. For the following magnetic circuit, the flux passing through the core is 1.32 mWb, the cross section of the core is 3 cm by 4 cm, the laminated section has a stacking factor of 0.9, and the gap is 1 mm. Determine the flux density in each section. Neglect fringing d N turns Cast iron Air gap Laminated sheet steelarrow_forward
- A magnetic circuit with a cross-sectional area of 20 cm? is to be operated at 50 Hz from a 120 V rms supply. The number of turns required to achieve a peak magnetic flux density of 1.8 T in the core isarrow_forwardQUESTION 1 A ferromagnetic core is shown in Figure 1. The depth of the core (in to page) is 15cm, and the other dimensions are shown in the figure. There is a 150-turn coil wrapped around the left side of the core with input current is 2 Ā. a) Draw and label a magnetic circuit of ferromagnetic core below b) Assuming relative permeability, pr of 2400,calculate: i. Total reluctance ii. Magnetomotive force of the circuit Total flux of the circuit ii. 15cm 20cm 15cm 15сm N= 150 20cm 15cm 15cm 20cm 15cm Figure 1: Ferromagnetic Corearrow_forwardThe maximum flux density is the core of a 3000/240-V; 50Hz single phase distributiontransformer is 1.25 Tesla. If the voltage induced per turn is 8 volts, determine the crosssectional of the core in cm2arrow_forward
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