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What is the capacitive reactance of a capacitor of 10μF at a frequency of 60 Hz?

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Question: What is the capacitive reactance of a capacitor of 10μF at a frequency of 60 Hz? (2016)

Options:

  1. 265.26Ω
  2. 159.15Ω
  3. 100Ω
  4. 50Ω

Correct Answer: 265.26Ω

Solution: 

Capacitive reactance Xc = 1 / (2πfC) = 1 / (2π * 60 * 10e-6) = 265.26Ω.

What is the capacitive reactance of a capacitor of 10μF at a frequency of 60 Hz?

Practice Questions

Q1
What is the capacitive reactance of a capacitor of 10μF at a frequency of 60 Hz? (2016)
  1. 265.26Ω
  2. 159.15Ω
  3. 100Ω
  4. 50Ω

Questions & Step-by-Step Solutions

What is the capacitive reactance of a capacitor of 10μF at a frequency of 60 Hz? (2016)
  • Step 1: Identify the formula for capacitive reactance, which is Xc = 1 / (2πfC).
  • Step 2: Identify the values needed for the formula: frequency (f) = 60 Hz and capacitance (C) = 10μF (which is 10e-6 F).
  • Step 3: Substitute the values into the formula: Xc = 1 / (2π * 60 * 10e-6).
  • Step 4: Calculate the denominator: 2π * 60 * 10e-6 = 0.00003769911184307752.
  • Step 5: Calculate the capacitive reactance: Xc = 1 / 0.00003769911184307752 = 265.26Ω.
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