Final answer:
When inductors are connected in series, their total inductance is the sum of the individual inductances. The inductive reactance is proportional to both the inductance and the frequency of the AC source, and mutual inductance between inductors can influence their behavior.
Step-by-step explanation:
When connected in series, the total Inductance is the sum of all inductors. This is because each inductor's magnetic field adds to the total, much like the combined resistance of a group of resistors connected in parallel.
The inductor in an AC circuit creates inductive reactance (XL), which is an opposition to the change in current and is proportional to both the inductance (L) and the frequency (f) of the AC voltage source. This is why XL = 2πfL, showing that larger inductance and frequency lead to greater inductive reactance.
It's important to note that mutual inductance can occur when two inductors are in proximity and influence each other, a concept utilized in transformers.
When inductors are connected in series, their total inductance is the sum of the individual inductances. The inductive reactance is proportional to both the inductance and the frequency of the AC source, and mutual inductance between inductors can influence their behavior.