Question 1 A ferromagnetic core with a relative permeability of 1500 is shown in Figure 2. The dimensions are as shown in the diagram, and the depth of the core is 7 cm. The air gaps on the left and right sides of the core are 0.070 and 0.020 cm, respectively. Because of fringing effects, the effective area of the air gaps is 5 percent larger than their physical size. If there are 400 turns in the coil wrapped around the center leg of the core and if the current in the coil is 1.0 A, what is a) the flux in each of the left, center, and right legs of the core? b) the flux density in each air gap? 7 cm ст ст 30 cm 30 cm 7 cm - 0.07 cm 400 turns 30 cm 0.05 cm 7 cm Core depth = 7 cm Figure 2

Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
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Chapter3: Power Transformers
Section: Chapter Questions
Problem 3.1MCQ: The Ohms law for the magnetic circuit states that the net magnetomotive force (mmf) equals the...
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Question 1
A ferromagnetic core with a relative permeability of 1500 is shown in Figure 2. The dimensions
are as shown in the diagram, and the depth of the core is 7 cm. The air gaps on the left and
right sides of the core are 0.070 and 0.020 cm, respectively. Because of fringing effects, the
effective area of the air gaps is 5 percent larger than their physical size. If there are 400 turns
in the coil wrapped around the center leg of the core and if the current in the coil is 1.0 A, what
is
a) the flux in each of the left, center, and right legs of the core?
b) the flux density in each air gap?
7 cm
ст
ст
30 cm
30 cm
7 cm
400 turns
0.05 cm
30 cm
0.07 cm
7 cm
Core depth = 7 cm
Figure 2
Transcribed Image Text:Question 1 A ferromagnetic core with a relative permeability of 1500 is shown in Figure 2. The dimensions are as shown in the diagram, and the depth of the core is 7 cm. The air gaps on the left and right sides of the core are 0.070 and 0.020 cm, respectively. Because of fringing effects, the effective area of the air gaps is 5 percent larger than their physical size. If there are 400 turns in the coil wrapped around the center leg of the core and if the current in the coil is 1.0 A, what is a) the flux in each of the left, center, and right legs of the core? b) the flux density in each air gap? 7 cm ст ст 30 cm 30 cm 7 cm 400 turns 0.05 cm 30 cm 0.07 cm 7 cm Core depth = 7 cm Figure 2
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