How to Add Inductors in Series and Calculate Total Inductance

An inductor is an electrical component that stores energy in a magnetic field and opposes changes in current. This article explains how to add inductors in a series configuration to alter their combined electrical properties.

Understanding Series Inductor Connection

Connecting inductors in series means arranging them end-to-end, forming a single continuous path for current. The same current flows through each inductor, generating a magnetic field. When connected in series, their individual magnetic fields combine and reinforce each other. This results in an increased opposition to current changes, effectively increasing the circuit’s total inductance. The total inductance will always be greater than any single inductor in the series.

Connecting Inductors Step-by-Step

Physically connecting inductors in series involves a few practical steps to ensure a proper and safe circuit. First, identify the two connection points, or leads, on each inductor. These are typically wire extensions from the coil itself. For a series connection, you will link one lead of the first inductor to one lead of the second inductor, and so on, creating a chain. This can be achieved through various methods, such as soldering for a permanent connection or using a breadboard for temporary setups and prototyping.

It is important to ensure that all connections are secure and properly insulated to prevent short circuits or unintended contact. While ideal inductors in series typically do not have a specific polarity that affects their basic function, it is worth noting that in some cases, especially with closely placed inductors, magnetic coupling can occur. This magnetic interaction between coils can influence the total inductance, but for most general applications, the simple series connection without considering specific polarity is sufficient. Always handle components carefully and ensure power is off when making connections to maintain safety.

Calculating Total Inductance for Series Inductors

When inductors are connected in series and there is no significant magnetic interaction between them, calculating the total inductance is straightforward. The total inductance is found by simply adding the individual inductance values of each component. This relationship is expressed by the formula: L_total = L1 + L2 + L3 + … + Ln, where L_total represents the total inductance and L1, L2, L3, and so on, represent the inductance of each individual inductor in the series. Inductance is measured in Henries (H).

For example, if you have three inductors with values of 2 Henries (H), 3 H, and 5 H connected in series, the total inductance would be calculated as: L_total = 2 H + 3 H + 5 H = 10 H. This calculation is important in circuit design because it allows engineers to achieve a specific inductance value that might not be available as a single component. Engineers use this principle to design various electronic systems, including filters that block unwanted frequencies or resonant circuits used in radio equipment.