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Home > Ordnance Documents and other related manuals > > Series Inductors With Magnetic Coupling.
Figure 23. Mutual Inductance
Figure 24. Series Inductors With Aiding Fields

Electronic Principles
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ELECTRONIC PRINCIPLES - OD1647 - LESSON 1/TASK 1
The mutual inductance between two coils, L1 and L2, is expressed
in terms of the inductance of each coil and the coefficient of
coupling K. As a formula:
M = √ K L1 L2
Where: M = Mutual inductance in henrys
K = Coefficient of coupling
L1, L2 = Inductance of coils in Henrys
h. Series Inductors Without Magnetic Coupling. When inductors
are well shielded or are located far enough apart from one
another, the effect of mutual inductance is negligible. If
there is no mutual inductance (magnetic coupling) and the
inductors are connected in series, the total inductance is equal
to the sum of the individual inductances. As a formula:
LT = L1 + L2 + L3 + ... Ln
where LT is the total inductance; L1, L2, L3 are the inductances
of L1, L2, L3; and Ln means that any number (n) of inductors may
be used. The inductances of inductors in series are added
together, like the resistance of resistors in series.
i. Series Inductors With Magnetic Coupling. When two inductors
in series are so arranged that the field of one links the other,
the combined inductance is determined as follows:
LT = L1 + L2 2M
where: LT = The total inductance
L1, L2 = The inductances of L1, L2
M = The mutual inductance between the two inductors
When the magnetic fields of the two inductors are aiding each
other, as shown in figure 24 on the following page, the plus
sign is used with M. When the magnetic field of the two
inductors oppose each other, as shown in figure 25 on the
following page, the minus sign is used with M. The factor 2M
accounts for the influence of L1 on L2, and L2 on L1.
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