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MMLU-Pro / 11943 / A balanced three-phase three-wire system supplies two bal-ancedY-connected…

Problem

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

question

A balanced three-phase three-wire system supplies two bal-ancedY-connected loads. The first draws 6-kW at 0.8PF laggingwhile the other requires 12kW at 0.833PF leading. If thecurrent in each line is 8Arms, find the current in the: (a)firstload; (b) second load; (c) source phase.

category

engineering

options

  1. First load current: 3.464Arms, Second load current: 5.774Arms, Source phase current: 8.1 Arms
  2. First load current: 3.273Arms, Second load current: 6.288Arms, Source phase current: 7 Arms
  3. First load current: 2.8Arms, Second load current: 6.0Arms, Source phase current: 7.5 Arms
  4. First load current: 4.5Arms, Second load current: 5.3Arms, Source phase current: 8.5 Arms
  5. First load current: 3.0Arms, Second load current: 7.071Arms, Source phase current: 8.2 Arms
  6. First load current: 5.0Arms, Second load current: 7.071Arms, Source phase current: 9 Arms
  7. First load current: 3.873Arms, Second load current: 6.708Arms, Source phase current: 7.8 Arms
  8. First load current: 2.5Arms, Second load current: 5.3Arms, Source phase current: 8 Arms
  9. First load current: 3.273Arms, Second load current: 6.288Arms, Source phase current: 8 Arms
  10. First load current: 4.0Arms, Second load current: 6.288Arms, Source phase current: 8 Arms

src

stemez-ElectricCircuits

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Source and history

upstream_id / Original problem ID
11943
task_id
bc4d91a2-2c74-545b-aa00-fcf5bed915d0
task_key
default--test--11943
task_revision_id
1
config / split
default / test

Official source

initial import