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A capacitor in an AC circuit has a capacitive reactance of 50 ohms. If the frequ

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Question: 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?

Options:

  1. Increases
  2. Decreases
  3. Remains the same
  4. Becomes infinite

Correct Answer: Decreases

Solution: 

Capacitive reactance (X_C) is given by X_C = 1/(2πfC). If the frequency (f) increases, X_C decreases.

A capacitor in an AC circuit has a capacitive reactance of 50 ohms. If the frequ

Practice Questions

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?
  1. Increases
  2. Decreases
  3. Remains the same
  4. Becomes infinite

Questions & Step-by-Step Solutions

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?
  • 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.
  • Capacitive Reactance – Capacitive reactance is the opposition that a capacitor offers to the flow of alternating current, which 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 a key principle in AC circuit analysis.
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