Chapter 12 Magnetic Fields: V Mutual induction m a Induced electromotance in terms of Mutual inductance Self-Inductance l Coefficient of Coupling a Transients in rc circuits
Chapter 12 Magnetic Fields:V ◼ Mutual Induction M ◼ Induced Electriomotance in Terms of Mutual Inductance ◼ Self-Inductance L ◼ Coefficient of Coupling ◼ Transients in RC Circuits
12.1 Mutual Inductance m See fig 12-1
The current Ia in circuit a produces a magnetic field and a flux linKage a6 In the circuit b This Aab is proportional to la ab Similarly, a current Ib in b also produces a flux link- age /ab in a ba Mbale It can be shown that Mab= Mb For any shape of a and b
The factor of proportionality M called the mutual inductance btwn the two circuits Remark M has the unit weber/ampere= henrys M depends on the geometrical configurations of the two circuits, including their sizes, shape, orienta tions, positions M is positive if the flux pr roduced one circuit is related to the current in the other circuit by the ht-hand rule. For instance, Fig. 12-1 gives a pos itive m the directions for the currents are chosen arbitrarily
Example: M Between T wo Coaxial Solenoids See Fig 12-2 The number of turns per meter is N the same for both solenoids Figure 12-2 Coaxial solenoids. The two radii are taken to be approximately equal