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What is the effect of increasing the capacitance in an AC circuit on the capacit
What is the effect of increasing the capacitance in an AC circuit on the capacitive reactance?
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Practice Questions
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Q1
What is the effect of increasing the capacitance in an AC circuit on the capacitive reactance?
Increases
Decreases
Remains the same
Becomes zero
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Capacitive reactance (X_C) is given by X_C = 1/(2πfC). Increasing capacitance (C) decreases X_C.
Questions & Step-by-step Solutions
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Q
Q: What is the effect of increasing the capacitance in an AC circuit on the capacitive reactance?
Solution:
Capacitive reactance (X_C) is given by X_C = 1/(2πfC). Increasing capacitance (C) decreases X_C.
Steps: 5
Show Steps
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 signal and C is the capacitance.
Step 3: Identify what happens when you increase the capacitance (C) in the formula. If C increases, the denominator (2πfC) becomes larger.
Step 4: Realize that if the denominator of a fraction increases, the overall value of the fraction decreases.
Step 5: Conclude that increasing the capacitance (C) results in a decrease in capacitive reactance (X_C).
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