The formula for capacitive reactance (Xc) is represented as?

• A. Xc = 2πfC
• B. Xc = 1/(2πfC)
• C. Xc = f/L
• D. Xc = L/(2πf)

Answer: (B)

The formula for capacitive reactance (Xc) is represented as Xc = 1/(2πfC). This relationship describes how a capacitor behaves in an AC circuit, where Xc represents the opposition that a capacitor offers to the flow of alternating current.

In this formula, f denotes the frequency of the AC signal, and C represents the capacitance in farads. As frequency increases, the capacitive reactance decreases, which means that at higher frequencies, the capacitor allows more current to pass through, effectively acting as a lower opposition to the AC flow. Conversely, increasing the capacitance results in a lower capacitive reactance, allowing more current to flow for given frequency conditions.

This understanding is crucial for engineers and technicians in designing circuits, especially those dealing with signal processing or AC power systems, as it helps to predict how capacitors will influence circuit behavior depending on frequency and capacitance.