Inductive reactance shows what trend with increasing frequency?

Inductive reactance is a measure of the opposition that an inductor presents to the flow of alternating current (AC). It is directly proportional to the frequency of the AC signal and the inductance of the coil. The formula for inductive reactance (X_L) is given by:

X_L = 2πfL

where X_L is the inductive reactance, f is the frequency in hertz, and L is the inductance in henries.

As frequency increases, the term '2πf' becomes larger, leading to an increase in the overall value of inductive reactance. This means that with higher frequencies, inductors resist the flow of AC more significantly. Therefore, the trend is that inductive reactance increases with increasing frequency, which is why the correct answer is that it increases as frequency rises. This behavior is critical in the design and analysis of AC circuits, as it affects the impedance and overall current flow.