The capacitive reactance of a capacitor is __________ proportional to capacitance and __________ proportional to frequency.

The correct understanding of capacitive reactance reveals that it is influenced by both capacitance and frequency in specific ways. Capacitive reactance is defined by the formula:

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

In this formula, ( X_C ) represents the capacitive reactance, ( f ) is the frequency of the alternating current, and ( C ) is the capacitance.

From the equation, it is evident that the capacitive reactance ( X_C ) is inversely proportional to both capacitance and frequency. This means that as the capacitance of the capacitor increases, the capacitive reactance decreases, making the capacitor allow more current to pass for a given frequency. Similarly, as the frequency increases, the capacitive reactance decreases as well, allowing more current to flow.

Therefore, describing the relationship, capacitive reactance is inversely proportional to capacitance and inversely proportional to frequency. This relationship is fundamental in understanding how capacitors behave in AC circuits.