Parallel Inductors

Calculate equivalent inductance of inductors in parallel using the reciprocal formula 1/L = 1/L1 + 1/L2 + ... + 1/Ln. Free online physics calculator with interactive charts and breakdowns for students and engineers.

Calculate equivalent parallel inductance

About This Calculator

The Parallel Inductors Calculator helps you quickly compute the total equivalent inductance when multiple inductors are connected in parallel in an electrical circuit. This tool is essential for electronics engineers, physics students, circuit designers, and hobbyists working with inductive components in power supplies, filters, transformers, and RF circuits.

The calculator uses the standard reciprocal formula: 1/Ltotal = 1/L1 + 1/L2 + ... + 1/Ln. This formula is derived from Kirchhoff's current law and the fact that the voltage across each parallel inductor is the same. The tool supports up to 10 inductors, displays results with interactive bar and pie charts, and provides a detailed breakdown table showing each inductor's value and its contribution to the total current distribution.

Applications of Parallel Inductors

Parallel inductor configurations are commonly used in power supply filtering circuits to reduce ripple currents, in radio frequency (RF) circuits for impedance matching and tank circuits, and in audio crossover networks. Connecting inductors in parallel also allows designers to achieve precise inductance values not available as standard components by combining multiple standard-value inductors.

Important Note on Mutual Inductance

This calculator assumes ideal inductors with no mutual coupling. In practice, when inductors are placed close together on a circuit board or wound on a shared core, mutual inductance can significantly affect the total inductance. For tightly coupled inductors (such as those on a shared magnetic core), the effective inductance depends on the coupling coefficient and the orientation of the windings. The formula used here applies to uncoupled (magnetically isolated) inductors only.

Frequently Asked Questions

How do you calculate equivalent inductance for inductors in parallel?

For inductors connected in parallel, the total equivalent inductance is found using the reciprocal formula: 1/L_total = 1/L1 + 1/L2 + ... + 1/Ln. For two inductors, this simplifies to L_total = (L1 × L2) / (L1 + L2). This formula mirrors the parallel resistance formula, but for inductive components.

What happens to total inductance when inductors are connected in parallel?

The total inductance decreases when inductors are connected in parallel. The equivalent inductance is always less than the smallest individual inductor value in the circuit. For example, connecting a 10 H and a 5 H inductor in parallel gives a total inductance of about 3.33 H.

Is the formula for parallel inductors the same as parallel resistors?

Yes, the formula for calculating equivalent inductance for inductors in parallel is mathematically identical to the formula for resistors in parallel: 1/Leq = 1/L1 + 1/L2 + ... + 1/Ln. However, unlike resistors, inductors also have mutual inductance effects when placed close together, which can affect the total inductance.

Does this calculator account for mutual inductance?

This calculator computes the ideal parallel inductance assuming no mutual coupling between the inductors. In real circuits, inductors placed close to each other can have mutual inductance due to their magnetic fields interacting, which may increase or decrease the total inductance depending on the coupling orientation.

Can I calculate unknown inductor values with this tool?

This calculator computes the total equivalent inductance from known individual inductor values. If you know the total inductance and all but one inductor value, you can rearrange the formula to solve for the unknown using 1/Lx = 1/Ltotal - 1/L1 - 1/L2 - ... for the known inductors.

What units of inductance does this calculator support?

The calculator accepts inductance values in henries (H). You can use decimal values for millihenries (mH) or microhenries (µH) by entering them as fractions of a henry. For example, 10 mH equals 0.01 H, and 100 µH equals 0.0001 H.