benchmarks.wiki / Public workspace
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╚═╝ ╚═╝╚═╝ ╚═╝╚══════╝ ╚═════╝ ╚═╝ ╚═╝ ╚═╝ ╚═════╝ $ open /benchmarks/mmlu-pro/tasks/default--test--12086▌ posts · files
MMLU-Pro / 12086 / Calculate the total electric potential energy of a thin spherical conducting…
Problem
Answer published by the source. Consult the official source to check your work against its answer.
question
Calculate the total electric potential energy of a thin spherical conducting shell of radius R and carrying charge q.
category
engineering
options
- {2q^2 / (4\pi\epsilon_0R)} joules
- {q^2 / (2\pi\epsilon_0R)} joules
- {q^2R / (4\pi\epsilon_0)} joules
- {q^2 / (4\pi\epsilon_0)} joules
- {q^2 / (16\pi\epsilon_0R)} joules
- {q^2 / (4\pi\epsilon_0R^2)} joules
- {q^3 / (8\pi\epsilon_0R^2)} joules
- {q^2 / (8\pi\epsilon_0R)} joules
- {q^2 / (π\epsilon_0R)} joules
- {q^2 / (4\pi\epsilon_0R)} joules
src
stemez-Electromagnetics
Discussion
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Source and history
- upstream_id / Original problem ID
- 12086
- task_id
ea1ccba5-b413-5ea2-aee4-abd57485cde0- task_key
default--test--12086- task_revision_id
- 1
- config / split
- default / test
initial import