What does the capacitive reactance (XC) depend on?

What does the capacitive reactance (XC) depend on?

• A. Frequency and capacitance
• B. Frequency alone
• C. Capacitance alone
• D. Inductance

Answer: (A)

Capacitive reactance, denoted as \( X_C \), is an important concept in AC circuits and is calculated using the formula \( X_C = \frac{1}{2\pi f C} \), where \( f \) represents the frequency of the AC signal, and \( C \) represents the capacitance value in farads. In this context, capacitive reactance is directly influenced by both the frequency of the applied voltage and the capacitance of the capacitor itself. As frequency increases, the capacitive reactance decreases, indicating that higher frequencies allow capacitors to conduct more easily. Conversely, increased capacitance leads to a decrease in capacitive reactance, meaning that a larger capacitance allows for easier conduction of AC signals. This interdependence of frequency and capacitance highlights how both factors work together to determine the overall capacitive reactance within a circuit. Thus, understanding this relationship is crucial for analyzing and designing AC circuits where capacitors are present.

Capacitive reactance, denoted as ( X_C ), is an important concept in AC circuits and is calculated using the formula ( X_C = \frac{1}{2\pi f C} ), where ( f ) represents the frequency of the AC signal, and ( C ) represents the capacitance value in farads.

In this context, capacitive reactance is directly influenced by both the frequency of the applied voltage and the capacitance of the capacitor itself. As frequency increases, the capacitive reactance decreases, indicating that higher frequencies allow capacitors to conduct more easily. Conversely, increased capacitance leads to a decrease in capacitive reactance, meaning that a larger capacitance allows for easier conduction of AC signals.

This interdependence of frequency and capacitance highlights how both factors work together to determine the overall capacitive reactance within a circuit. Thus, understanding this relationship is crucial for analyzing and designing AC circuits where capacitors are present.