03 Magnetic Circuits and Materials

03 Magnetic Circuits and Materials - Magnetic Circuits and...

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Unformatted text preview: Magnetic Circuits and Materials Amperes Circuital Law L dl enclosed I L dl H H I NI dl H length d NI Hd NI d NI H d B Constitutive Relationship In isotropic media H H B r permeability r relative permeability material c diamagneti : 1 , 1 r 1 materials most For material ic paramagnet : 1 , 1 vacuum : 1 r r r material tic ferromagne : 1 r Hysteresis Loop (I) B r remnant flux or residue flux H c coercive flux or coercivity Hysteresis Loop (II) C H soft material Volume Current t Q I Definition: l t d it J ds J I Volume current density vA t Ad t Q I V V v A I J V v J V V or mobility called is E ty conductivi E V E E J E V E v E A v d Ad V Q V V 1 resistivity Ohms Law E J Differential form: d V E A I J I d Since and , we have d V A I A E RI V + V or integral form _ A d R resistance where Magnetic Ohms Law H B Differential form: dS B d H F A B d Since and , we have d A F A H R F + or integral form F _ A d R reluctance where F is called magnetomotive force (MMF), whose unit is A. Magnetic Circuit length d + _ area A NI Hd NI L dl H R I A d R Hd F R NI Electric vs Magnetic Circuits _ Ni + _ Inductance ds B B N Flux linkage I I N I L NI total R N 2 NI total + _ total L R Mutual Inductance n n I L I L I L I L I L I L 2 1 1 2 12 1 11 1...
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This note was uploaded on 11/30/2011 for the course EEL 6208 taught by Professor Staff during the Fall '11 term at University of Central Florida.

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03 Magnetic Circuits and Materials - Magnetic Circuits and...

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