A ferromagnetic core with a relative permeability of 2000 is shown in Figure Q1-7. 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 0.050 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 the flux in each of the left, center, and right legs of the core? What is the flux density in each air gap? [Answer: Oleft = 0.0015 Wb, þcenter = 0.0033 Wb, Þright = 0.0018 Wb; Bieft = 0.292 T, Bright = 0.35 T] %3D %3D %3D

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A ferromagnetic core with a relative permeability of 2000 is shown in Figure Q1-7. 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 0.050 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 the flux in each of the left, center, and right legs of the core? What is the flux density in each
air gap?
[Answer: Pleft = 0.0015 Wb, dcenter = 0.0033 Wb, Þright = 0.0018 Wb; Bjeft = 0.292 T, Bright = 0.35 T]
%3D
Transcribed Image Text:A ferromagnetic core with a relative permeability of 2000 is shown in Figure Q1-7. 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 0.050 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 the flux in each of the left, center, and right legs of the core? What is the flux density in each air gap? [Answer: Pleft = 0.0015 Wb, dcenter = 0.0033 Wb, Þright = 0.0018 Wb; Bjeft = 0.292 T, Bright = 0.35 T] %3D
cm
7 cm
cm
30 cm-
30 cm
7 cm
400 turns
0.05 cm
30 cm
- 0.07 cm
7 cm
Core depth =7 cm
Transcribed Image Text:cm 7 cm cm 30 cm- 30 cm 7 cm 400 turns 0.05 cm 30 cm - 0.07 cm 7 cm Core depth =7 cm
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