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Question 250

What is the phase angle between the voltage across and the current through a series RLC circuit if XC is 500 ohms, R is 1 kilohm, and XL is 250 ohms?

  1. 68.2 degrees with the voltage leading the current
  2. 14.0 degrees with the voltage leading the current
  3. 14.0 degrees with the voltage lagging the currentCorrect answer
  4. 68.2 degrees with the voltage lagging the current

Explanation

Net reactance is the inductive reactance minus the capacitive reactance, here 250 Ω − 500 Ω = −250 Ω, so the circuit is net capacitive. The arctangent of −250/1000 is about −14°, and in a capacitive circuit the current leads, which is the same as saying the voltage lags.

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Question 250: What is the phase angle between the voltage across and the… · FCC Amateur Extra Class (Element 4) · Questena