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MMLU-Pro / 9838 / A load dissipates 1.5kW of power in an ac series RC circuit. Given that the…

Problem

Answer published by the source. Consult the official source to check your work against its answer.

question

A load dissipates 1.5kW of power in an ac series RC circuit. Given that the power factor is 0.75, what is its reactive power (Pr)(P_r)? What is its apparent power (Pa)(P_a)? Represent the answer in a list [Pr,PaP_r, P_a] with unit kVA and kVAR respectively.
Plain-text mathematical notation (without MathML)
A load dissipates 1.5kW of power in an ac series RC circuit. Given that the power factor is 0.75, what is its reactive power (P_(r))? What is its apparent power (P_(a))? Represent the answer in a list [P_(r),P_(a)] with unit kVA and kVAR respectively.
Original LaTeX notation
A load dissipates 1.5kW of power in an ac series RC circuit. Given that the power factor is 0.75, what is its reactive power $(P_r)$? What is its apparent power $(P_a)$? Represent the answer in a list [$P_r, P_a$] with unit kVA and kVAR respectively.

category

physics

options

  1. [1.5, 1.5]
  2. [1.32, 1.5]
  3. [1.0, 2.0]
  4. [0.75, 2.0]
  5. [1.5, 2.0]
  6. [2.25, 3.0]
  7. [2.0, 1.32]
  8. [1.8, 2.4]
  9. [1.2, 1.0]
  10. [0.9, 1.8]

src

theoremQA-Physics

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Source and history

upstream_id / Original problem ID
9838
task_id
1859e1e5-8e33-5660-bfea-d0f7ae8a6a32
task_key
default--test--9838
task_revision_id
1
config / split
default / test

Official source

initial import