What is the formula for inductive reactance, XL?

• A. 1/ωL
• B. -jωL
• C. ωL
• D. -1/ωL

Answer: (C)

Inductive reactance, denoted as (X_L), quantifies the opposition that an inductor offers to alternating current (AC) due to its inductance. The formula for inductive reactance is derived from the relationship between frequency, inductance, and the nature of AC circuits.

The correct expression for inductive reactance is given by (X_L = \omega L). In this formula:

• ( \omega ) (omega) represents the angular frequency of the AC signal, measured in radians per second. It is related to the frequency (f) in hertz by the equation ( \omega = 2\pi f ).

• ( L ) represents the inductance of the inductor, measured in henries (H).

As the frequency of the AC signal increases, the inductive reactance increases proportionally, indicating that the inductor will resist changes in current flow more at higher frequencies. In practical terms, this means that inductors are more effective at opposing AC currents with higher frequencies.

The positive nature of inductive reactance indicates not only its magnitude but also its phase relationship with the current; current lags the voltage across the inductor by 90 degrees in a typical AC circuit