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Series and Parallel Connection of Coils

Inductors connected in series or parallel are governed by the same formulae as those applicable to resistive loads. The following diagram shows an array of inductors connected in series.

INDUCTORS IN AC CIRCUITS

The total inductance here is:INDUCTORS IN AC CIRCUITS

In other words:

If several coils are connected in series, their total inductance is equal to the sum of the individual inductances.

The following diagram shows an array of inductors connected in parallel.

INDUCTORS IN AC CIRCUITS

The total inductance here is:INDUCTORS IN AC CIRCUITS

In other words:

If several coils are connected in parallel, the inverse of their total inductance is equal to the sum of the individual inverse inductances.

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