Why does the inductor have impedance at high frequencies?

An inductor has impedance at high frequencies because its reactance, which is a measure of how much it resists changes in current, increases with frequency. This reactance is given by the formula (X_L = 2\pi f L), where (f) is the frequency and (L) is the inductance. As the frequency increases, the inductor opposes rapid changes in current more effectively, resulting in higher impedance. This behavior makes inductors useful in filtering applications, where they can block high-frequency signals while allowing lower frequencies to pass.