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Inductors in dc circuits:
If it is required to increases the value of inductance in a circuit, then two or more inductors may be connected in series. The total inductance then depends on the sum of individual inductances and the mutual coupling between them.
With no mutual coupling:
LT = L1 + L2 etc
If the coils are positioned so that the mutual induced emf's in each coil aid the self induced emf's then the coils are said to be series aiding, and
LT = L1 + L2 + 2M
If the coils are positioned so that mutually induced emf's in each coil oppose the self induced emf's, the coils are said to be in series opposing, and
LT = L1 + L2 - 2M
Thus if the position of L2 reference to L1 can be reversed, then the total inductance will vary between:
and LT = L1 + L2 - 2M
giving a total variation of 4M.
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