Electric machinery fundamentals
5th Edition
ISBN: 9780073529547
Author: Chapman, Stephen J.
Publisher: MCGRAW-HILL HIGHER EDUCATION
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Question
Chapter 1, Problem 1.12P
To determine
To find: The flux produced in the core by the specified current. Also, the relative permeability of the given core.
To check: Whether the assumption for the relative permeability is good or not for the given conditions. Also, whether this assumption in general is good or not.
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Students have asked these similar questions
ferromagnetic
core is shown in Figure P1-2.
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.
-10cm-
-20 cm-
500 turns
a.
670 kA t/Wb
b. 330 kA t/Wb
c.
500 kA t/Wb
d.
256 kA t/Wb
Core depth = 5 cm
15cm
+
15cm
15cm
5
E
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:
Question 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 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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