Which formula is used to calculate inductive reactance?

The formula used to calculate inductive reactance is given by ( XL = 2\pi fL ). In this equation, ( XL ) represents inductive reactance measured in ohms, ( f ) is the frequency of the alternating current in hertz, and ( L ) is the inductance measured in henries. This relationship stems from the fact that inductors resist changes in current, and their opposition to this change increases with both the inductance of the coil and the frequency of the current.

Understanding this formula is crucial in AC circuit analysis because it allows engineers and technicians to determine how much an inductor will oppose the flow of AC electricity, which is particularly important in designing circuits that include inductors, such as transformers and filters. The formula illustrates that as either the frequency increases or inductance increases, the inductive reactance also rises, highlighting the impact of frequency on inductor behavior in AC systems.