Electric machinery fundamentals
5th Edition
ISBN: 9780073529547
Author: Chapman, Stephen J.
Publisher: MCGRAW-HILL HIGHER EDUCATION
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Textbook Question
Chapter 3, Problem 3.7P
Modify the MATLAB in Example 3-1 by swapping the currents flowing in any two phases. What happens to the resulting net magnetic field?
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For the magnetic circuit shown in the figure, the iron core with N = 500 turns -Magnetic permeability is 200. its average length is 10 cm -The diameter of the cross-sectional area is 1 cm. Find the current that must pass through the winding to produce 0.5 mWb of flux in a 1mm air-gap magnetic circuit?
A 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]
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:
Chapter 3 Solutions
Electric machinery fundamentals
Ch. 3 - What is the principal difference between a...Ch. 3 - Prob. 3.2QCh. 3 - Prob. 3.3QCh. 3 - What is the equation for the induced torque in an...Ch. 3 - The simple loop rotating in a uniform magnetic...Ch. 3 - Prob. 3.2PCh. 3 - The first ac power system in the United States ran...Ch. 3 - A three-phase, Y-connected, four-pole winding is...Ch. 3 - A three-phase, -connected, six-pole winding is...Ch. 3 - A three-phase, Y-connected, 60 Hz, two-pole...
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- The reluctance of a non-magnetic path is 12 AT-Wb. Find the flux needed to be set up if surrounded by a coil 600 turns carrying a current of 3 A.arrow_forwardExplain why do we need a B-H curve when we solve a parallel magnetic circuit in which one of the fluxes is give?arrow_forwardDescribe in detail the " Magnetic Hysteresis of Ferromagnetic Materials"arrow_forward
- 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 cmarrow_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_forwardThe applied MMF to a simple magnetic circuit is 350AT. It was found that the resulting magnetic field denstiy is 0.7 Wb/m². The average length of this magnetic circuit is 1.64ft and its cross sectional area is 4cm². What is the reluctance (in AT/Wb) of the magnetic material of the core?arrow_forward
- 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 1arrow_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_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 ring has reluctance of 1.675 × 10⁰ AT weber. The flux to be produced by the coil is 800 x 10 webers, then the AT required for the m.m.f. will bearrow_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 800. a. 1 A b. 2 A c. 1.5 A d. 2.5 Aarrow_forwardBy referring to Lenz’s Law, with aids of drawing, discuss the induced current process in magnetic circuitarrow_forward
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