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Inductances in Series Formula Calculation

When uncoupled inductances L1, L2, L3, ... are connected in series, the total inductance LS is:

LS = L1 + L2 + L3 + ...

When two coupled inductances L1 and L2 with mutual inductance M are connected in series, the total inductance LS is:

LS = L1 + L2 2M

The plus or minus sign indicates that the coupling is either additive or subtractive, depending on the connection polarity.

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