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Parallel Inductance Calculator

Your numbers

Change any value to update the result.

Equivalent inductance

0.066667H

Equivalent inductance: 0.066667 H
Examples
How the result moves

Your current valid inputs, with one value varied across the range.

Second coil L2 (H) → Equivalent inductance (H)
Second coil L2: 0.2 H; Equivalent inductance: 0.066667 H

How the result moves

Held fixed: First coil L1 0.100000 H.

Second coil L2 (H)Equivalent inductance (H)
0.1000000.050000
0.200000Your value0.066667
0.3000000.075000

Two coils in parallel behave like one of L1 × L2 ÷ (L1 + L2), which is always smaller than the smaller coil. Two equal coils give exactly half: 10 mH beside 10 mH is 5 mH. Enter both values in henries — 100 mH is 0.1 — and keep the coils apart, because the formula assumes no magnetic coupling.

Worked examples

How it's calculated

L = L1 × L2 ÷ (L1 + L2)

  1. StepEnter the first inductance in henries — 100 mH is 0.1.First coil L1=0.1H
  2. StepEnter the second the same way; millihenries ÷ 1000, microhenries ÷ 1000000.Second coil L2=0.2H
  3. ResultRead the equivalent inductance, always below the smaller coil.0.066667H

Reference table

L1, L2What it isEquivalent
0.001, 0.001Two 1 mH coils — half of one0.000500
0.1, 0.2100 mH beside 200 mH0.066667
0.5, 0.5Two equal half-henry coils0.250000
1, 1Equal coils always halve0.500000
2, 32 H beside 3 H1.200000
10, 40A big coil barely moved by a bigger one8.000000

Questions

How do I calculate inductance in parallel?

For two coils, multiply the two inductances and divide by their sum: L = L1 × L2 ÷ (L1 + L2). Henries in, henries out — 0.1 H beside 0.2 H gives 0.066667 H.

Why is the result smaller than either coil?

A second parallel path gives the current another route, so the pair opposes a change in current less than either coil would alone. The equivalent inductance is therefore always below the smaller of the two, exactly as with resistors in parallel.

How is parallel different from series?

Coils in series simply add: L = L1 + L2. Coils in parallel combine by the reciprocal rule, which for two of them is the product over the sum, so series raises the total and parallel lowers it.

What do two equal coils give?

Exactly half the value of one. Two 10 mH coils in parallel act as a single 5 mH coil, because L × L ÷ (L + L) is L ÷ 2.

Does this account for mutual coupling?

No. The product-over-sum form assumes the coils are magnetically independent. If they sit close together or share a core, mutual inductance changes the real value and the fuller formula with the coupling term is needed.

Sources and last check

  1. en.wikipedia.org

Information, not professional advice.