How is inductive reactance calculated in an AC circuit?

The calculation of inductive reactance in an AC circuit is determined by the formula ( XL = 2\pi fL ). In this equation, ( XL ) represents the inductive reactance measured in ohms, ( f ) is the frequency of the AC signal in hertz (Hz), and ( L ) is the inductance measured in henries (H).

This formula shows that inductive reactance is directly proportional to both the frequency of the AC signal and the inductance. As either the frequency or the inductance increases, the inductive reactance also increases, which affects how much the inductor will oppose the alternating current. This concept is crucial in AC circuit analysis because it helps determine how inductive components behave in the presence of alternating currents, impacting the overall impedance of the circuit.

The other choices do not accurately represent the relationship between inductive reactance, frequency, and inductance, which is why they are not correct. Understanding this relationship is key to analyzing AC circuits effectively.