How do inductors behave when connected in series?

When inductors are connected in series, the behavior of the inductance is determined by the principle that the total inductance is the sum of the individual inductances. This can be understood by considering how each inductor reacts to the changing current flowing through the circuit.

In a series connection, the same amount of current flows through each inductor. Each inductor generates a magnetic field that opposes changes to the current. As a result, the total magnetic field created in the circuit is additive, which means the total inductive effect increases with the addition of each inductor. Therefore, to find the total inductance, you simply add the values of each inductor together. This relationship is valid regardless of the specific values of the inductors, provided they are connected in series.

For instance, if you have three inductors with inductances L1, L2, and L3 connected in series, the total inductance, L_total, would be calculated as L_total = L1 + L2 + L3. This direct sum reflects the cumulative opposition to changes in current, which is critical for how inductors function in AC and DC circuits.

Overall, this understanding of series inductors is crucial for analyzing and designing circuits involving inductance,