Two coils of self inductance $$L_1$$ and $$L_2$$ are connected in series combination having mutual inductance of the coils as $$M$$. The equivalent self inductance of the combination will be

Given:
$$Two\ inductors\ of\ self\ induc\tan ce\ L_1\ and\ L_2\ connected\ in\ series\ with\ mutual\ induc\tan ce\ M.$$

Concept:
For series combination of coupled inductors:

Here:
Currents are in opposite direction ⇒ opposing case

Result:

$$Leq=L_1+L_2−2M$$

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