If the frequency of an AC source is increased, what happens to the capacitive re

If the frequency of an AC source is increased, what happens to the capacitive reactance?

If the frequency of an AC source is increased, what happens to the capacitive reactance?

Step 1: Understand what capacitive reactance (X_C) is. It is a measure of how much a capacitor resists the flow of alternating current (AC).
Step 2: Know the formula for capacitive reactance: X_C = 1/(ωC), where ω (omega) is the angular frequency and C is the capacitance.
Step 3: Recognize that frequency (f) is related to angular frequency by the formula: ω = 2πf.
Step 4: If the frequency of the AC source increases, the angular frequency (ω) also increases.
Step 5: Since X_C is inversely proportional to ω (as seen in the formula), when ω increases, X_C decreases.
Step 6: Therefore, if the frequency of the AC source is increased, the capacitive reactance (X_C) decreases.

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