Electrician Red Seal · Question
A fully loaded 10 kW, 480 V, 3-phase induction motor has a nameplate power factor of 0.85 lagging. Which of the following statements is true regarding its reactive power consumption?
The motor's real power (P) is 10 kW. To find the reactive power (Q), we first calculate the apparent power (S) = P / PF = 10 kW / 0.85 = 11.76 kVA. Then, Q = √(
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Question: A fully loaded 10 kW, 480 V, 3-phase induction motor has a nameplate power factor of 0.85 lagging. Which of the following statements is true regarding its reactive power consumption?
Answer options:
- It consumes 10 kW of apparent power.
- It does not consume any reactive power. ✅ It consumes approximately 6.2 kVAr.
- It generates 10 kW of reactive power.
Correct answer: It consumes approximately 6.2 kVAr.
Explanation: The motor's real power (P) is 10 kW. To find the reactive power (Q), we first calculate the apparent power (S) = P / PF = 10 kW / 0.85 = 11.76 kVA. Then, Q = √(S² - P²) = √(11.76² - 10²) = √(138.3 - 100) = √38.3 = 6.18 kVAr, approximately 6.2 kVAr. Induction motors inherently consume lagging reactive power.
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