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IEVref: | 221-04-31 | ID: | |

Language: | en | Status: Standard | |

Term: | effective dimensions (of a magnetic circuit) pl | ||

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Definition: | for a magnetic core operating within the Rayleigh region, and having given geometry and material properties, the magnetic path length, the cross-sectional area and the volume that a hypothetical toroidal core of the same material properties and of radially thin uniform cross-section should possess to be magnetically equivalent to the given core Note 1 – The effective dimensions are as follows: effective cross-sectional area $A}_{\text{e}}=\frac{{C}_{1}}{{C}_{2}$ effective magnetic path length, $l}_{\text{e}}=\frac{{C}_{1}^{2}}{{C}_{2}$ effective volume, $V}_{\text{e}}=\frac{{C}_{1}^{3}}{{C}_{2}^{2}$
where $C}_{1}=\frac{{l}_{\text{e}}}{{A}_{\text{e}}$ $C}_{2}=\frac{{l}_{\text{e}}}{{A}_{\text{e}}^{2}$ $V}_{\text{e}}={l}_{e}{A}_{\text{e}$
Note 2 – These formulae can also apply to a magnetic circuit operating outside the limit of the Rayleigh region provided the magnetization can be assumed to be uniform, for example as in an Epstein square. | ||

Publication date: | 1990-10 | ||

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Internal notes: | 2017-06-02: Cleanup - Remove Attached Image 221-04-311.gif 2017-06-02: Cleanup - Remove Attached Image 221-04-312.gif 2017-06-02: Cleanup - Remove Attached Image 221-04-313.gif 2017-06-02: Cleanup - Remove Attached Image 221-04-314.gif 2017-08-28: Corrected <mstyle> to </mstyle>. LMO | ||

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Note 1 – The effective dimensions are as follows:

effective cross-sectional area

$A}_{\text{e}}=\frac{{C}_{1}}{{C}_{2}$

effective magnetic path length,

$l}_{\text{e}}=\frac{{C}_{1}^{2}}{{C}_{2}$

effective volume,

$V}_{\text{e}}=\frac{{C}_{1}^{3}}{{C}_{2}^{2}$

where *C*_{1} and *C*_{2} are the appropriate core factors hence:

$C}_{1}=\frac{{l}_{\text{e}}}{{A}_{\text{e}}$

$C}_{2}=\frac{{l}_{\text{e}}}{{A}_{\text{e}}^{2}$

$V}_{\text{e}}={l}_{e}{A}_{\text{e}$

Note 2 – These formulae can also apply to a magnetic circuit operating outside the limit of the Rayleigh region provided the magnetization can be assumed to be uniform, for example as in an Epstein square.