Capacitive reactance is inversely proportional to which factor?

Capacitive reactance is a measure of how much a capacitor impedes alternating current (AC) in a circuit, and it is indeed inversely proportional to frequency. This relationship can be expressed by the formula:

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

where ( X_C ) is capacitive reactance, ( f ) is the frequency of the AC signal, and ( C ) is the capacitance value in farads. From this formula, it is clear that as the frequency increases, the capacitive reactance decreases, meaning higher frequencies allow more current to pass through the capacitor with less opposition.

This characteristic is essential in AC circuits, particularly in applications where frequency modulation or filtering is required. The inverse relationship between capacitive reactance and frequency demonstrates that capacitors can filter out low-frequency signals while allowing higher-frequency signals to pass, making them invaluable in various electronic circuits.

In contrast, voltage levels, current load, and electrical resistance do not have an inverse relationship with capacitive reactance. Voltage levels are more concerned with the potential difference across components, while current load pertains to the total current flowing through a circuit. Electrical resistance operates in accordance with Ohm's law but does not