A capacitor in an AC circuit has a capacitive reactance of 50 ohms. If the frequency of the AC source is increased, what happens to the capacitive reactance?
Practice Questions
1 question
Q1
A capacitor in an AC circuit has a capacitive reactance of 50 ohms. If the frequency of the AC source is increased, what happens to the capacitive reactance?
Increases
Decreases
Remains the same
Becomes infinite
Capacitive reactance (X_C) is given by X_C = 1/(2πfC). If the frequency (f) increases, X_C decreases.
Questions & Step-by-step Solutions
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Q
Q: A capacitor in an AC circuit has a capacitive reactance of 50 ohms. If the frequency of the AC source is increased, what happens to the capacitive reactance?
Solution: Capacitive reactance (X_C) is given by X_C = 1/(2πfC). If the frequency (f) increases, X_C decreases.
Steps: 4
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/(2πfC), where f is the frequency of the AC source and C is the capacitance.
Step 3: Identify that in the formula, X_C is inversely related to frequency (f). This means that as frequency increases, X_C will decrease.
Step 4: Conclude that if the frequency of the AC source is increased, the capacitive reactance (X_C) will decrease.
