Inductors in Parallel Calculator

Find total inductance of inductors in parallel.

Total inductance (mH) 6.667

Formula: 1/L = 1/L₁ + 1/L₂ + 1/L₃

Step-by-step with your numbers:
1. Values used:
2. Inductor 1 = 10 mH
3. Inductor 2 = 20 mH
4. Inductor 3 = 0 mH
5.
6. Total inductance = 6.667mH
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Inductors in parallel combine like resistors in parallel — the total is smaller than the smallest.

How the Math Works

The Inductors in Parallel Calculator uses the reciprocal formula to determine total inductance when multiple inductors are connected in parallel circuits. Just like resistors in parallel, the total inductance is calculated by taking the sum of the reciprocals of each individual inductor's value (1/L = 1/L₁ + 1/L₂ + 1/L₃), then inverting the result. This relationship exists because parallel inductors share the same voltage but divide the current, resulting in an overall inductance that is always less than the smallest individual inductor in the combination.

Practical Applications

To use this calculator practically, simply enter the inductance values of each parallel inductor in henries (H), millihenries (mH), or microhenries (μH) into their respective fields. The calculator instantly computes the total inductance, which is essential for designing filtering circuits, tuning circuits, and power supply applications. Engineers and electronics technicians rely on this calculation when building audio equipment, radio frequency circuits, or any application where inductive filtering is required, ensuring components work together to achieve the desired circuit characteristics.

Day-to-Day Use

While you may not calculate parallel inductors every day, this concept appears in many modern devices that improve daily life. Your smartphone's power management, your car's ignition system, and even the wireless charging pads on your kitchen counter all use inductors in parallel to regulate voltage and current efficiently. Understanding this calculation helps explain why electronic devices work reliably and how engineers optimize the tiny components inside the gadgets you use constantly, from laptops to electric vehicles.

Worked example

10 mH ∥ 20 mH → 6.67 mH.

FAQ

Two equal inductors in parallel?

The total is half of one of them.