Parallel Inductors Calculator | Qucs-S S-parameter Viewer Documentation

Skip to content

# Parallel Inductors Calculator

## Overview

Calculates the equivalent inductance of any number of inductors connected in parallel.

## Formula

    L_eq = 1 / (1/L₁ + 1/L₂ + ... + 1/Lₙ)

This is analogous to the parallel resistance formula — the equivalent inductance is always less than the smallest individual inductor.

## Input Parameters

Parameter | Default | Description
--- | --- | ---
L₁…Lₙ | 10nH | Inductance values

## Inductance Parsing

Values are entered as strings using standard shorthand notation, where the prefix letter replaces the decimal point. A trailing `H` is optional and ignored.

Input | Parsed Value
--- | ---
`470` | 470 H
`10nH` | 10 nH
`2u2` | 2.2 μH
`0u5H` | 500 nH
`4m7` | 4.7 mH
`22uH` | 22 μH

Supported prefixes: `n` (10⁻⁹), `u` (10⁻⁶), `m` (10⁻³), `meg` (10⁶).

## Output

- L_{eq}: Equivalent inductance of the parallel network

## Example

Input:

- L₁ = 10nH, L₂ = 22nH, L₃ = 4n7

Calculation:

    L_eq = 1 / (1/10e-9 + 1/22e-9 + 1/4.7e-9)
         = 1 / (1e8 + 4.545e7 + 2.128e8)
         = 1 / (3.583e8)
         ≈ 2.792 nH

Output:

Parameter | Value
--- | ---
L_eq | 2.792 nH

## See Also

- Parallel Resistors Calculator
- Series Capacitors Calculator
- RF Engineering Calculators