Busch 2006, Abschnitt 2.6.1, Gl. (2.52)

Inductors in series (uncoupled)

With no magnetic coupling, inductances of series-connected coils add directly, as with resistors.

MINTSI
01

Inputs

Inductance of the complete series chain with no mutual coupling.

First inductor in the series chain.

Second inductor in the series chain.

Third inductor; set to 0 if only two inductors are present.

02

Result

Select a target and calculate.

Calculation

Ltotal = L1 + L2 (+ L3)

With no magnetic coupling, inductances of series-connected coils add directly, as with resistors.

Understand the inputs
  • Total inductance LtotalInductance of the complete series chain with no mutual coupling.
  • Inductance L1First inductor in the series chain.
  • Inductance L2Second inductor in the series chain.
  • Inductance L3 (optional)Third inductor; set to 0 if only two inductors are present.
Example

10 mH and 22 mH in series give 32 mH.

Assumptions and limits

No magnetic coupling (mutual inductance M=0) and ideal, resistance-free coils; coupling requires additional ±2M terms.

Technical article

Understand Inductors in series (uncoupled)

This calculator determines the total inductance of two or three magnetically uncoupled inductors connected in series.

What does this quantity describe?

With no magnetic coupling, inductances of series-connected coils add directly: Ltotal=L1+L2(+L3), analogous to resistors in series.

Formula and variables

Ltotal = L1 + L2 (+ L3)

  • Ltotal = L1 + L2 (+ L3)
Symbol / inputMeaning
Total inductance LtotalInductance of the complete series chain with no mutual coupling.
Inductance L1First inductor in the series chain.
Inductance L2Second inductor in the series chain.
Inductance L3 (optional)Third inductor; set to 0 if only two inductors are present.

Choose the inputs correctly

L1, L2 and optionally L3 are the inductances of the series-connected, uncoupled coils.

How to use the calculator

Take inductance values from a datasheet or measurement; ensure there is no significant magnetic coupling between the coils.

Worked example

10 mH and 22 mH in series give Ltotal=32 mH.

Understand the result and units

Ltotal grows linearly with each added coil; with coupling present, an additional ±2M term would apply.

All inductances are entered in the same or convertible units (H, mH, µH).

Useful next calculation

For the parallel case see inductors in parallel.

Typical applications

Combining available coils into a required total inductance, e.g. in filter circuits or chokes.

Assumptions, limits and common mistakes

No magnetic coupling (M=0) and ideal, resistance-free coils. Real winding resistance and coupling are not included.

Common mistake: Do not assume zero coupling without checking when coils are placed close together or share a common core.

Frequently asked questions

What is “Inductors in series (uncoupled)” used for?

Combining available coils into a required total inductance, e.g. in filter circuits or chokes.

Where do the input values come from?

L1, L2 and optionally L3 are the inductances of the series-connected, uncoupled coils.

What does the result not cover?

No magnetic coupling (M=0) and ideal, resistance-free coils. Real winding resistance and coupling are not included.

Sources, method and review

  • Rudolf Busch, Elektrotechnik und Elektronik für Maschinenbauer und Verfahrenstechniker, 4th ed. 2006, Abschnitt 2.6.1, Gl. (2.52) Reihenschaltung von Spulen (local chapter PDF)

Our method, source hierarchy and automated checks are documented on the methodology page. Read the methodology

Responsible
NormCalc-Redaktion
Last updated
2026-09-16