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11. Magnetically Coupled Circuits
All rights reserved. Do not copy or distribute. © 2013 National Technology and Science Press CIRCUITS by Ulaby & Maharbiz
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© 2013 National Technology and Science Press
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Magnetic Coupling Current i1 induces flux Φ11 in coil 1
And flux Φ12 in coil 2 Magnetic linkage in coil 1: In coil 2: All rights reserved. Do not copy or distribute. © 2013 National Technology and Science Press
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Dot Convention: Defines directions of windings
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Polarities All rights reserved. Do not copy or distribute.
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Equivalent Inductance
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Transformers The coupling coefficient k defines the degree of magnetic coupling between the coils: 1. loosely coupled pair: k < tightly coupled coils: k > perfectly coupled coils: k = 1. The magnitude of k depends on the physical geometry of the two-coil configuration and the magnetic permeability μ of the core material. All rights reserved. Do not copy or distribute. © 2013 National Technology and Science Press
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Coupling Coefficient All rights reserved. Do not copy or distribute. © 2013 National Technology and Science Press
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Input Impedance All rights reserved. Do not copy or distribute.
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All rights reserved. Do not copy or distribute.
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All rights reserved. Do not copy or distribute.
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All rights reserved. Do not copy or distribute
All rights reserved. Do not copy or distribute. © 2013 National Technology and Science Press
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Ideal Transformers All rights reserved. Do not copy or distribute.
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Thevenin Equivalent As seen by source 1 As seen by source 2
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Autotransformers All rights reserved. Do not copy or distribute.
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Three-Phase Transformers
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Three-Phase Transformers
n = N2/N1 All rights reserved. Do not copy or distribute. © 2013 National Technology and Science Press
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All rights reserved. Do not copy or distribute
All rights reserved. Do not copy or distribute. © 2013 National Technology and Science Press
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All rights reserved. Do not copy or distribute. © 2013 National Technology and Science Press Summary
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All rights reserved. Do not copy or distribute. © 2013 National Technology and Science Press Summary (cont.)
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