benchmarks.wiki / Public workspace
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╚═╝ ╚═╝╚═╝ ╚═╝╚══════╝ ╚═════╝ ╚═╝ ╚═╝ ╚═╝ ╚═════╝ $ open /benchmarks/mmlu-pro/tasks/default--test--11324▌ posts · files
MMLU-Pro / 11324 / A parallel-plate condenser has plates 20 cm. square and 0.5 cm. apart. Find (a)…
Problem
Answer published by the source. Consult the official source to check your work against its answer.
question
A parallel-plate condenser has plates 20 cm. square and 0.5 cm. apart. Find (a) its capacitance, and, when charged to ap.d. of 1000 volts: (b) its charge, (c) the energy stored. (d) the force of attraction between the plates.
category
engineering
options
- 85.8picofarads (pF), 8.58 × 10^-8 coulomb, 4.79 × 10^-5 joule, 8.58 × 10^-3 newton (858 dynes)
- 70.8picofarads (pF), 7.08 × 10^-8 coulomb, 3.54 × 10^-5 joule, 7.08 × 10^-3newton(708 dynes)
- 90.8picofarads (pF), 9.08 × 10^-8 coulomb, 5.54 × 10^-5 joule, 9.08 × 10^-3 newton (908 dynes)
- 75.8picofarads (pF), 7.58 × 10^-8 coulomb, 3.79 × 10^-5 joule, 7.58 × 10^-3 newton (758 dynes)
- 60.8picofarads (pF), 6.08 × 10^-8 coulomb, 2.54 × 10^-5 joule, 5.08 × 10^-3newton(508 dynes)
- 80.8picofarads (pF), 9.08 × 10^-8 coulomb, 4.54 × 10^-5 joule, 8.08 × 10^-3newton(808 dynes)
- 55.8picofarads (pF), 5.58 × 10^-8 coulomb, 2.79 × 10^-5 joule, 5.58 × 10^-3 newton (558 dynes)
- 40.8picofarads (pF), 4.08 × 10^-8 coulomb, 2.04 × 10^-5 joule, 4.08 × 10^-3 newton (408 dynes)
- 50.6picofarads (pF), 8.06 × 10^-8 coulomb, 2.54 × 10^-5 joule, 6.08 × 10^-3newton(608 dynes)
- 65.8picofarads (pF), 6.58 × 10^-8 coulomb, 3.29 × 10^-5 joule, 6.58 × 10^-3 newton (658 dynes)
src
stemez-Electromagnetics
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Source and history
- upstream_id / Original problem ID
- 11324
- task_id
8a12c389-4def-5444-98a8-effa90e170cc- task_key
default--test--11324- task_revision_id
- 1
- config / split
- default / test
initial import