Final answer:
Adding additional inductors in series increases the total inductive reactance of a circuit, which impedes AC current more with each inductor added.
Step-by-step explanation:
Inductive reactance is the name given to the opposition to a changing current flow. This impedance is measured in ohms, just like resistance. In inductors, voltage leads current by 90 degrees. When adding additional inductors in series in a circuit, the total inductive reactance of the circuit increases. Inductive reactance, which is denoted as XL, is the opposition of an inductor to a change in current.
In a series configuration, the reactances of individual inductors add together, similar to resistors in series. The formula for calculating the inductive reactance of an inductor in an AC circuit is XL = 2πfL, where f is the frequency of the AC voltage source and L is the inductance in henrys.
As more inductors are added in series, their individual inductances add up, leading to a proportionally larger total inductive reactance of the circuit. This increased reactance will impede the AC current more as you include more inductors.