Magnetic Circuit: Difference between revisions
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Problem 2.16 from ''Electric Machinery and Transformers'', 3rd ed: |
Problem 2.16 from ''Electric Machinery and Transformers'', 3rd ed: |
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<blockquote>A magnetic circuit is given in Figure P2.16. What must be the current in the 1600-turn coil to set up a flux density of 0.1 T in the air-gap? Assume that magnetic flux density varies as <math>B=[1.5H/(750+H)]</math>.<ref>Guru and Huseyin, ''Electric Machinery and Transformers'', 3rd ed. (New York: Oxford University Press, 2001), 129.</ref></blockquote> |
<blockquote>A magnetic circuit is given in Figure P2.16. What must be the current in the 1600-turn coil to set up a flux density of 0.1 T in the air-gap? All dimensions are in centimeters. Assume that magnetic flux density varies as <math>B=[1.5H/(750+H)]</math>.<ref>Guru and Huseyin, ''Electric Machinery and Transformers'', 3rd ed. (New York: Oxford University Press, 2001), 129.</ref></blockquote> |
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==Solution== |
==Solution== |
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First, we note that the problem statement is incomplete. Assume that the distance from the corner at ''c'' to the corner at ''h'' is 30 cm, giving a total device width of 80 cm. Further assume that the core has a relative permeability of 500. Also, as recommended in the text, we will neglect fringing. |
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We must now work backward from the air-gap, since the value of the flux-density is given there. |
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Revision as of 22:09, 10 January 2010
Problem Statement
Problem 2.16 from Electric Machinery and Transformers, 3rd ed:
A magnetic circuit is given in Figure P2.16. What must be the current in the 1600-turn coil to set up a flux density of 0.1 T in the air-gap? All dimensions are in centimeters. Assume that magnetic flux density varies as .<ref>Guru and Huseyin, Electric Machinery and Transformers, 3rd ed. (New York: Oxford University Press, 2001), 129.</ref>
![{\displaystyle B=[1.5H/(750+H)]}](https://wikimedia.org/api/rest_v1/media/math/render/svg/461efa32b8e9b84a7b09e7e5052103302f011e0f)
Solution
First, we note that the problem statement is incomplete. Assume that the distance from the corner at c to the corner at h is 30 cm, giving a total device width of 80 cm. Further assume that the core has a relative permeability of 500. Also, as recommended in the text, we will neglect fringing.
We must now work backward from the air-gap, since the value of the flux-density is given there.
References
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