benchmarks.wiki / Public workspace
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╚═╝ ╚═╝╚═╝ ╚═╝╚══════╝ ╚═════╝ ╚═╝ ╚═╝ ╚═╝ ╚═════╝ $ open /benchmarks/mmlu-pro/tasks/default--test--12162▌ posts · files
MMLU-Pro / 12162 / A factory draws a lagging load of 2000 kW at a power factor of 0.6 from 6000 V…
Problem
Answer published by the source. Consult the official source to check your work against its answer.
question
A factory draws a lagging load of 2000 kW at a power factor of 0.6 from 6000 V mains. A synchronous capacitor is purchased to raise the overall power factor to unity. Assuming that the synchronous capacitor losses are 275 kW, calculate: (a) Originalkilovarsof lagging load. (b)kvarsof correction needed to bring the power factor to unity. (c)kVArating of synchronous capacitor and its power factor.
category
engineering
options
- 2200 kvars, 2400 kVA, 0.15 leading
- 2500 kvars, 3000 kVA, 0.1 leading
- 2667 kvars, 3300 kVA, 0.09 leading
- 1800 kvars, 2100 kVA, 0.12 leading
- 3000kvars, 2500kVA, 0.2 leading
- 2000kvars, 2300kVA, 0.15 leading
- 3500kvars, 2900kVA, 0.05 leading
- 1600 kvars, 2000 kVA, 0.2 leading
- 2800 kvars, 3100 kVA, 0.08 leading
- 2667kvars, 2755kVA, 0.103 leading
src
stemez-ElectricalMachines
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Source and history
- upstream_id / Original problem ID
- 12162
- task_id
2b692b9e-1541-59ea-b439-60336fed287c- task_key
default--test--12162- task_revision_id
- 1
- config / split
- default / test
initial import