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Nov 24, 2024
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ECSE 251: Electric and Magnetic Fields
HW9
Mohammad Fazel Vafadar
Fall 2022
ECSE 251 Electric and Magnetic Fields; M. F. Vafadar
Exercise 1
Solution:
ECSE 251 Electric and Magnetic Fields; M. F. Vafadar
Exercise 1
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ECSE 251 Electric and Magnetic Fields; M. F. Vafadar
Exercise 1
ECSE 251 Electric and Magnetic Fields; M. F. Vafadar
Exercise 2
Solution:
ECSE 251 Electric and Magnetic Fields; M. F. Vafadar
Exercise 2
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ECSE 251 Electric and Magnetic Fields; M. F. Vafadar
Exercise 3
Solution:
ECSE 251 Electric and Magnetic Fields; M. F. Vafadar
Exercise 3
ECSE 251 Electric and Magnetic Fields; M. F. Vafadar
Exercise 4
Solution:
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ECSE 251 Electric and Magnetic Fields; M. F. Vafadar
Exercise 4
ECSE 251 Electric and Magnetic Fields; M. F. Vafadar
Exercise 5
Solution:
ECSE 251 Electric and Magnetic Fields; M. F. Vafadar
Exercise 5
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ECSE 251 Electric and Magnetic Fields; M. F. Vafadar
Exercise 6
Solution:
ECSE 251 Electric and Magnetic Fields; M. F. Vafadar
Exercise 6
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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?
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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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An iron core 0.4 m long and 5 cm2is wound with 300 turns. When a current of 0.5A flows in the coil, how much is the inductance of the coil. Assume the core has a permeability of 2500.
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Answer the following Questions
Question-1
A coil of 1000 turns is wound on a laminated core of steel having a cross-section of 5 cm². The
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A flux of 0.0016 Wb flows in a silicon sheet steel coil/core. The arrangement appears as shown below
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Ac = 0.0025 m?
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%3D
A. What is the current, I, through the winding?
B. What is the energy stored in the inductance?
C. Assume that the current is given by i =9.75 sin (3147) A. What is the RMS voltage that would
appear across the winding?
D. Assume that the gap is removed from the arrangement with the flux path remaining at 0.350 m. For a
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E. What is the energy stored in the inductance with the gap removed?
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B) What is a magnetic flux line?a) It is the space around a magnet or the space in which the magnetic forces act.b) It is the magnetic force that has a definite direction at all points along a curved line from the north to south pole.c) It is the ability of a magnetic material to be easily magnetized.d) none of the above
C)It is believed that a magnetic material is .........a) consists of a single large magnetic molecule b) is composed of many tiny magnetic molecules c) consists of a single non-magnetic molecule d) none of the above
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