The relationship between frequency and capacitive reactance can be described as:

The relationship between frequency and capacitive reactance is inversely proportional, meaning that as the frequency increases, the capacitive reactance decreases, and vice versa. This relationship can be understood through the formula for capacitive reactance, which is given by:

[ X_c = \frac{1}{2 \pi f C} ]

where ( X_c ) is the capacitive reactance, ( f ) is the frequency, and ( C ) is the capacitance. From this equation, it is clear that the capacitive reactance (( X_c )) is inversely related to the frequency (( f )); if you increase the frequency while keeping capacitance constant, the value of ( X_c ) will decrease.

This principle is key in AC circuits, where capacitors react differently at various frequencies. For example, in high-frequency applications, the reactance is lower, allowing more current to flow through the capacitor, which is essential in filter and timing applications. Understanding this inverse relationship helps in analyzing and designing circuits that incorporate capacitive components.