Question: If the frequency of an AC source is increased, what happens to the capacitive reactance?
Options:
It increases
It decreases
It remains the same
It becomes infinite
Correct Answer: It decreases
Solution:
Capacitive reactance X_C = 1/(ωC) decreases as frequency increases.
If the frequency of an AC source is increased, what happens to the capacitive re
Practice Questions
Q1
If the frequency of an AC source is increased, what happens to the capacitive reactance?
It increases
It decreases
It remains the same
It becomes infinite
Questions & Step-by-Step Solutions
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.
Capacitive Reactance – Capacitive reactance (X_C) is the opposition that a capacitor offers to the flow of alternating current (AC) and is inversely proportional to the frequency of the AC source and the capacitance.
Frequency and Reactance Relationship – As the frequency of the AC source increases, the capacitive reactance decreases, which is crucial for understanding how capacitors behave in AC circuits.
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