Engineering Electromagnetics
9th Edition
ISBN: 9780078028151
Author: Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher: Mcgraw-hill Education,
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Question
Chapter 8, Problem 8.30P
To determine
(a)
The magnetic flux density as a function of position over core cross-section.
To determine
(b)
Total magnetic flux within the core.
To determine
(c)
The self-inductance of coil 1.
To determine
(d)
The mutual inductance between coil 1 and coil 2.
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A ferromagnetic core with a relative permeability of 1500 is shown in the given figure. The dimensions are as shown in the diagram, and the depth of the core is 5 cm. The air gaps on the
left and right sides of the core are 0.050 and 0.070 cm, respectively. 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 1.0 A:
(a) What are the flux values for the left, center and the right legs of the core?
(b) What is the flux density in each air gap?
7 cm
-30 cm-
7 em
30 ст
7 cm
30 cm
-0.07 cm
300 turns
0.05 cm-
7 сm
Core depth = 5 cm
> Figure 1 shows a ferromagnetic core whose mean path length is 40 cm. There is a
small gap of 0.05 cm in the structure of the otherwise whole core. The cross-sectional
area of the core is 12cm?, the relative permeability of the core is 4000 and the coil of
wire on the core has 400 turns. Assume that fringing in the air gap increases the
effective cross-sectional area of the air gap by 5 percent. Given this information.
Find the total reluctance of the flux path (iron plus air gap) and the current
required to produce a flux density of 0.5 T in the air gap.
N=400
0.05 cm
A-12 cm
- 40 cm
Figure 1
Chapter 8 Solutions
Engineering Electromagnetics
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