Inductors in Series Calculator

Inductors in series add up, just like resistors in series.

How the Math Works

The formula L = L₁ + L₂ + L₃ calculates the total inductance of inductors connected in series by summing their individual inductance values. When inductors are wired in series, their magnetic fields interact such that the total opposition to changes in current (inductance) increases. Each inductor's contribution adds directly because the current through all components is identical, and their induced voltages reinforce one another. This straightforward addition makes the calculation intuitive: simply add the inductance values of all series-connected inductors to find the total.

Practical Applications

This calculation is essential in circuit design, particularly in power supplies, filters, and radio-frequency (RF) systems. For example, when designing a chokes or energy-storage circuits, engineers use this formula to determine the combined inductance needed to achieve specific performance parameters like current ripple or resonant frequencies. It also helps in troubleshooting scenarios where multiple inductors are used in a single circuit path, ensuring the total inductance matches design specifications to prevent component failure or signal distortion.

Day-to-Day Use

While most people may not calculate inductor values daily, this principle underpins the functionality of many everyday electronic devices. The inductors in your smartphone's power management circuits, the transformers in household appliances, or the filters in audio equipment all rely on series and parallel inductor configurations. Understanding this calculation helps engineers optimize these devices for efficiency and reliability, indirectly contributing to the performance and longevity of gadgets we use regularly. Even in renewable energy systems like solar inverters, series inductor configurations play a role in power conditioning.

Worked example

10 mH + 20 mH → 30 mH.

FAQ