A 4160 Volt AC generator is loaded to 2850...

Question 1 of 270705eccefa4bacbc34ba4d480e6

A 4160 Volt AC generator is loaded to 2850 kW with a 0.85 power factor. What is the approximate kVAR load on the generator?

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Question 1 of 27070

Q

A 4160 Volt AC generator is loaded to 2850 kW with a 0.85 power factor. What is the approximate kVAR load on the generator?

🔍 Key Concepts

• Real power (kW), reactive power (kVAR), and apparent power (kVA) relationship in AC circuits • How power factor (pf) relates to cosine of the phase angle: pf = cos(θ) • Using trigonometry (right triangle of power) to find kVAR from kW and pf

💭 Think About

• How can you use the given kW and power factor to first find the apparent power in kVA? • Once you know kVA and kW, how can you use the right-triangle relationship to solve for kVAR? • Is there a way to use pf = cos(θ) to find tan(θ), and then relate kVAR to kW using tan(θ)?

✅ Before You Answer

• Be sure you are treating 2850 as kW (real power), not kVA. • Confirm that pf = kW / kVA, and rearrange correctly to solve for kVA. • Before picking an answer, check that your kVAR value is less than the kVA and that the numbers make sense for a pf of 0.85 (not extremely low, not close to 1.0).