IEVref: 221-04-31 ID: Language: en Status: Standard Term: effective dimensions (of a magnetic circuit) pl Synonym1: Synonym2: Synonym3: Symbol: 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 C1 and C2 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. Publication date: 1990-10 Source: Replaces: 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 to . LMO CO remarks: TC/SC remarks: VT remarks: Domain1: Domain2: Domain3: Domain4: Domain5: