# Series Inductors Calculator

URL: https://speedycalculator.com/calculators/physics/series-inductors/
Last updated: 2026-10-30

> The series inductors calculator adds up to ten inductors connected in series to find the total inductance (assuming no mutual coupling), or the missing inductor needed to reach a target.

## Inputs

- Calculate
- Target total inductance (mH, µH, nH, H)
- Inductor 1 (mH, µH, nH, H)
- Inductor 2 (mH, µH, nH, H)
- Inductor 3 (mH, µH, nH, H)
- Inductor 4 (mH, µH, nH, H)
- Inductor 5 (mH, µH, nH, H)
- Inductor 6 (mH, µH, nH, H)
- Inductor 7 (mH, µH, nH, H)
- Inductor 8 (mH, µH, nH, H)
- Inductor 9 (mH, µH, nH, H)
- Inductor 10 (mH, µH, nH, H)

## Results

- Total inductance
- Missing inductor

## Formula

```
L_total = L₁ + L₂ + … + L_n · Missing: L_x = L_target − ΣL_i
```

## Explanation

Inductors in series behave like resistors in series: their inductances simply add, provided their magnetic fields don't couple. Designers combine standard values this way to hit an exact inductance.

### How to use the Series Inductors Calculator

- **Calculate**
- **Target total inductance**
- **Inductor 1**
- **Inductor 2**
- **Inductor 3**
- **Inductor 4**
- **Inductor 5**
- **Inductor 6**
- **Inductor 7**
- **Inductor 8**
- **Inductor 9**
- **Inductor 10**

Results update as you type, every field has its own unit menu, and everything is calculated in your browser.

### How it works

Choose the mode and enter the inductances (leave unused fields at 0).

### Inputs explained

FieldWhat to enterCalculateChoose one: Total inductance, Missing inductorTarget total inductanceUnits: mH, µH, nH, HInductor 1Units: mH, µH, nH, HInductor 2Units: mH, µH, nH, HInductor 3Units: mH, µH, nH, HInductor 4Units: mH, µH, nH, HInductor 5Units: mH, µH, nH, HInductor 6Units: mH, µH, nH, HInductor 7Units: mH, µH, nH, HInductor 8Units: mH, µH, nH, HInductor 9Units: mH, µH, nH, HInductor 10Units: mH, µH, nH, H

### What each result means

- **Total inductance** = [Inductor 1] + [Inductor 2] + [Inductor 3] + [Inductor 4] + [Inductor 5] + [Inductor 6] + [Inductor 7] + [Inductor 8] + [Inductor 9] + [Inductor 10]
- **Missing inductor** = [Target total inductance] - ([Inductor 1] + [Inductor 2] + [Inductor 3] + [Inductor 4] + [Inductor 5] + [Inductor 6] + [Inductor 7] + [Inductor 8] + [Inductor 9] + [Inductor 10])

### Example values

How the main result changes when **Target total inductance** changes and everything else stays at the example values above:

Target total inductance (mH)Total inductance (mH)5079757910079125791507920079

## Worked example

Inputs — Calculate: Total inductance; Inductor 1: 10 mH; Inductor 2: 22 mH; Inductor 3: 47 mH; Inductor 4: 0 mH; Inductor 5: 0 mH; Inductor 6: 0 mH; Inductor 7: 0 mH; Inductor 8: 0 mH; Inductor 9: 0 mH; Inductor 10: 0 mH.

Results — **Total inductance = 79 mH**.

## Key terms

- **Mutual inductance**: Coupling between two coils' magnetic fields.

## FAQ

**Do series inductances always add?**
Only without mutual coupling; coupled coils add ±2M.

**How do I avoid coupling?**
Space the inductors apart or mount them at right angles.

**Is it like resistors?**
Yes – series inductors add like series resistors.

**What happens to current rating?**
The same current flows through each, so the lowest rating limits it.


## Sources

- [OpenStax – University Physics Volume 2](https://openstax.org/details/books/university-physics-volume-2)
- [HyperPhysics (Georgia State University)](http://hyperphysics.phy-astr.gsu.edu/hbase/hframe.html)