Relationship between Self- and Mutual-Inductance

Chapter 5.21 Relationship between Self- and Mutual-Inductance

Fundamental Electrical and Electronic Principles Third Edition Book
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Fundamental Electrical and Electronic Principles Third Edition Book

  • 182Fundamental Electrical and Electronic Principlestherefore, henryML L12(5.18) Worked Example 5.24 Q Two coils, A and B, have 2000 turns and 1500 turns respectively. A current of 0.5 A, fl owing in A, produces a fl ux of 60 Wb. The fl ux linking with B is 83% of this value. Determine (a) the self-inductance of coil A, and (b) the mutual inductance of the two coils. A N A 2000; N B 1500; I A 0.5 A; A 60 10 6 Wb (a) LNLAAAAAIhenryso, H 20006000502461..Ans (b) MNMBBAIhenryso, H 1115000 83600050496...Ans 5.21 Relationship between Self- and Mutual-Inductance Consider two coils of N1 and N2 turns respectively, wound on to a common non-magnetic core. If the reluctance of the core is S ampere turns/weber, and the coupling coeffi cient is unity, then LNSLNS112222 and therefore, LLNNSMNINN121222221111……………[]henry, and multiplying by MMNNNI1211 The above expression contains the term NISMNNSMNNS111221222212so,therefore, ……………[] and comparing equations [1] and [2] ML L212