Intermediate

Series & Parallel Inductors Calculator

Combine up to four inductors in series or parallel and instantly find the equivalent inductance. Enter a frequency to also get the inductive reactance X_L — useful for filter and impedance design.

Configuration

mH

mH

mH

Leave at 0 to omit

mH

Leave at 0 to omit

Hz

For inductive reactance (X_L)
Total inductance
250mH

Sum of all inductors (no mutual inductance)

Configuration
Series
Number of inductors
2
Inductive reactance X_L
94.248 Ω
AC current through an inductor lags voltage by 90° — reactance X_L = 2πfL
Step by step
  1. 1

    Inductor values (mH)

    100 + 150
    Series: add all values directly (no mutual inductance assumed).
  2. 2

    Total inductance

    L_total = 100 + 150 = 250
Results are estimates for general information only and are not professional advice — always verify important results independently before relying on them. Read the full disclaimer.
Quick answer

How does this calculator work?

Series inductors add directly (L = L₁ + L₂ + …); parallel inductors use the reciprocal rule (1/L = 1/L₁ + 1/L₂ + …). Enter 2–4 values in mH and optionally a frequency to also compute the inductive reactance X_L = 2πfL in ohms.

Formula
Series: L = L₁ + L₂ + … • Parallel: 1/L = 1/L₁ + 1/L₂ + … • X_L = 2πfL
How this is calculated

When inductors are connected in series (end-to-end) and their magnetic fields do not interact, the total inductance is simply the sum of individual values: L_total = L₁ + L₂ + L₃ + …. Series combination always produces an inductance larger than any single element, analogous to series resistors.

In parallel the voltage across each inductor is the same, so the currents add. The total inductance is found via the reciprocal rule: 1/L_total = 1/L₁ + 1/L₂ + …, giving a result smaller than the smallest individual inductor, again mirroring the resistor analogy.

Both formulas assume negligible mutual inductance (the coils are well-separated or shielded). Real wound coils placed close together have mutual coupling M that either increases (aiding) or decreases (opposing) the total inductance by ±2M. Inductive reactance X_L = 2πfL shows how the total inductance impedes AC current at frequency f: higher frequency or larger inductance means more opposition to current change.

Frequently asked questions

Simply add the inductance values: L_total = L₁ + L₂ + … This assumes the coils are not magnetically coupled. If they are, you must account for mutual inductance: L_total = L₁ + L₂ ± 2M.

In parallel each inductor shares the current-handling, so less total flux linkage is needed to oppose current change. Mathematically, the reciprocal-sum rule always gives a result smaller than the smallest element.

Inductive reactance X_L = 2πfL (ohms) is the AC impedance of an inductor at frequency f. It increases linearly with both frequency and inductance, so higher frequencies and larger coils block more AC current — the opposite of a capacitor.

Also known as

series inductors calculator
parallel inductors calculator
total inductance series
inductive reactance xl calculator
inductor combination calculator
rl circuit inductance
equivalent inductance calculator
inductors in series parallel formula

APA

TG we-Calculate Editorial Team. (2026). Series & Parallel Inductors Calculator [Online calculator]. TG we-Calculate. https://we-calculate.com/calculator/series-inductors-calculator

Chicago

TG we-Calculate Editorial Team. "Series & Parallel Inductors Calculator." TG we-Calculate. 2026. https://we-calculate.com/calculator/series-inductors-calculator.

IEEE

TG we-Calculate Editorial Team, "Series & Parallel Inductors Calculator," TG we-Calculate, 2026. [Online]. Available: https://we-calculate.com/calculator/series-inductors-calculator

BibTeX

@misc{wecalculate_series_inductors_calculator, title = {Series & Parallel Inductors Calculator}, author = {{TG we-Calculate Editorial Team}}, howpublished = {\url{https://we-calculate.com/calculator/series-inductors-calculator}}, year = {2026}, note = {TG we-Calculate} }

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