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# Appendix D: Inductors

The inductor used in the power electronics chapter can be designed using a ring core (toroid). The toroid is made of a magnetic material and a copper wire is wrapped around the core as shown in Figure D.1. The inductance of the toriod is directly related to the number of turns of the winding, the geometry of the core, and the material used to build the core.

Figure D.1

Toroid.

The inductance L is defined as the flux linkage λ produced by the current I

$L=\frac{\lambda }{I}=\frac{N\phi }{I}$

where

N is the number of turns of the coil

I is the current of the coil

φ is the magnetic flux

λ is the flux linkage

Since the reluctance ℜ of the core is ...

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