Inductor Series Value Calculator
Combines two or three uncoupled series inductors into an ideal equivalent inductance while leaving coupling, saturation, and rating checks separate.
- Equivalent inductance
- mH
Calculation details
- Calculation basis
- Boundary
Recent results
Formulas
- \(L_{\mathrm{eq}} = L_1 + L_2 + L_3\)
- \(L_3\text{ is omitted when its input is }0\)
The Inductor Series Value Calculator determines the ideal equivalent inductance produced when separate inductors are connected in series. The calculated value is the total inductance seen by the circuit at the series connection, expressed in millihenries (mH).
Series inductors are commonly reviewed when selecting or combining inductive components in filters, chokes, relay circuits, timing networks, power-conversion circuits, and other low- or high-frequency electronic equipment. The equivalent inductance can be used to compare a proposed series arrangement with a required target inductance before selecting parts or completing a circuit calculation.
The calculator returns one value:
| Result | Electrical meaning |
|---|---|
| Equivalent inductance | The ideal total inductance of the entered inductors connected in series |
Inductance Inputs
Enter the component values using the calculator’s actual input fields:
| Input | Required | Entry requirement |
|---|---|---|
| Inductance 1 | Yes | Enter the first positive inductance |
| Inductance 2 | Yes | Enter the second positive inductance |
| Inductance 3 (optional) | No | Enter a positive third inductance, or enter 0 to omit it |
All entered values use mH. The result is also displayed in mH.
Inductance 1 and Inductance 2 represent the two required series components. Inductance 3 (optional) lets a third inductor be included without changing the calculation method. A value of 0 for the optional field does not add inductance to the result.
Series Inductance Formula
For ideal inductors connected in series, inductance adds directly:
\(\displaystyle L_{\text{eq}} = L_1 + L_2 + L_3\)
Where:
- \(L_{\text{eq}}\) = equivalent inductance
- \(L_1\) = Inductance 1
- \(L_2\) = Inductance 2
- \(L_3\) = Inductance 3 (optional)
When Inductance 3 (optional) is entered as 0, the equation becomes:
\(\displaystyle L_{\text{eq}} = L_1 + L_2\)
Unlike capacitors in series, ideal inductor values in a series path increase by direct addition.
Calculation Example
Enter the following values:
| Field | Value |
|---|---|
| Inductance 1 | 10 mH |
| Inductance 2 | 10 mH |
| Inductance 3 (optional) | 0 mH |
\(\displaystyle L_{\text{eq}} = 10\text{ mH} + 10\text{ mH} + 0\text{ mH}\)
\(\displaystyle \boxed{L_{\text{eq}} = 20\text{ mH}}\)
The calculator result is Equivalent inductance: 20 mH.
In an ideal circuit, the two 10 mH inductors behave as one 20 mH inductance when connected in series with the same current flowing through both components.
Circuit and Field Limits
The calculation assumes ideal inductors with no interaction between their magnetic fields. Actual circuit performance may differ from the calculated equivalent inductance when inductors are mounted close enough for magnetic coupling, wound on a shared core, or positioned so their fields affect one another.
Component selection and circuit verification must separately account for:
- Inductor tolerance and the actual measured inductance at the operating condition
- DC resistance and associated voltage drop or heat loss
- Current rating and core saturation under expected load current
- Frequency-dependent losses, parasitic capacitance, and self-resonant behavior
- Physical lead routing, polarity markings where applicable, and spacing between magnetic components
- The effect of the combined inductance on circuit current, switching behavior, filtering, or resonance
The calculator provides the ideal series inductance value. It does not determine current capacity, thermal performance, saturation margin, voltage rating, or whether the selected components are suitable for a specific electronic assembly.
FAQs
When do inductors add directly in series?
The direct sum applies to an ideal series arrangement when mutual coupling is excluded. Coupled windings need a different model.
Does this account for saturation?
No. Saturation, winding resistance, current rating, core behavior, and frequency must be reviewed separately.