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notes28 2317 - Prof David R Jackson ECE Dept Spring 2011...

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Unformatted text preview: Prof. David R. Jackson ECE Dept. Spring 2011 Notes 28 ECE 2317 ECE 2317 Applied Electricity and Magnetism Applied Electricity and Magnetism Mutual Inductance Mutual Inductance 2 ˆ n 1 ˆ n I 1 I 2 Current reference directions and unit normals are defined on both coils. Two coils are in proximity of each other. (The unit normals are each determined from the corresponding current reference directions, by the right-hand rule.) Mutual Inductance (cont.) Mutual Inductance (cont.) 2 1 21 2 ˆ S B n dS ψ ≡ ⋅ ∫ 1 ˆ n ψ 21 I 1 In general, if coil 2 has multiple turns: 21 21 1 M I ψ ≡ 21 2 21 21 1 1 N M I I ψ Λ ≡ = Coil 1 is energized Coil 2 is left open-circuited Define mutual inductance: (calculated when I 2 = 0 ) 2 ˆ n Note: For the figure shown, ψ 21 < if I 1 > 0 . Hence M 21 < 0 . 1 2 12 1 ˆ S B n dS ψ = ⋅ ∫ ψ 12 I 2 In general, if coil 1 has multiple turns, 12 12 2 M I ψ ≡ 12 1 12 12 2 2 N M I I ψ Λ ≡ = Define mutual inductance: Coil 2 is energized Coil 1 is left open-circuited Mutual Inductance (cont.) Mutual Inductance (cont.) 1 ˆ n 2 ˆ n A general property is that both mutual inductance components are always equal: 12 21 M M M = = Mutual Inductance (cont.) Mutual Inductance (cont.) Circuit Law for Coupled Coils...
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notes28 2317 - Prof David R Jackson ECE Dept Spring 2011...

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