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What is the effect of increasing the frequency on the capacitive reactance?
What is the effect of increasing the frequency on the capacitive reactance?
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What is the effect of increasing the frequency on the capacitive reactance?
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Capacitive reactance X_C = 1/(ωC) decreases with increasing frequency.
Questions & Step-by-step Solutions
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Q: What is the effect of increasing the frequency on the capacitive reactance?
Solution:
Capacitive reactance X_C = 1/(ωC) decreases with increasing frequency.
Steps: 6
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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: When the frequency (f) 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, increasing the frequency results in a decrease in capacitive reactance.
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