How is inductive reactance, XL, expressed mathematically?

Inductive reactance, denoted as XL, quantifies the opposition that an inductor presents to the flow of alternating current (AC) due to its inductance. The mathematical expression for inductive reactance is given by the relationship XL = ωL, where ω (omega) represents the angular frequency of the AC signal in radians per second, and L is the inductance measured in henrys (H).

This formula shows that inductive reactance is directly proportional to both the frequency of the AC source and the inductance. As the frequency increases, or as the inductance of the inductor increases, the inductive reactance also increases, which means the inductor will oppose the flow of AC more vigorously. This behavior is crucial in AC circuits, where inductors can influence the overall impedance and phase relationships.

The other options do not accurately represent the formula for inductive reactance. The expression involving -1/ωL would imply a negative reactance, creating confusion, while ωC refers to capacitive reactance, which is entirely different. Lastly, 1/ωL does not correctly describe inductive reactance and does not align with its established mathematical definition. Thus, the option reflecting XL = ωL is the only