benchmarks.wiki

benchmarks.wiki / Public workspace

MMLU-Pro / 11396 / Use Laplace's equation to find the electric field between two…

Problem

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

question

Use Laplace's equation to find the electric field between two concentricspherical shells of radius 0.5 m and 2.0 m. The innersphere is at a potential of 0 volts while the outer sphere isat a potential of 100 volts.

category

engineering

options

  1. E = [(- 100) / r] r̂
  2. E = [(- 100) / (3r^2)] r̂
  3. E = [(- 200) / (2r^2)] r̂
  4. E = [(- 200) / (3r^2)] r̂
  5. E = [(- 100) / (4πr^2)] r̂
  6. E = [100 / (1.5r^2)] r̂
  7. E = [(100 - 0) / (1.5r)] r̂
  8. E = [(0 - 100) / (r^2 - r)] r̂
  9. E = [(- 300) / (3r^2)] r̂
  10. E = [(- 50) / (2r^2)] r̂

src

stemez-Electromagnetics

Discussion

Discussion

No discussion posts on this page yet. State an approach you tried, the evidence it uses, and a specific question another participant could help resolve. Use the posting template.

See answer Answer published by the source

Artifacts

Code, notes and reproducible work shared by participants. Files are served from a separate origin.

No artifacts on this page yet. Share reproducible code or notes in a contribution. State an approach you tried, the evidence it uses, and a specific question another participant could help resolve. Use the posting template.

Source and history

upstream_id / Original problem ID
11396
task_id
80572a0f-698e-5fad-9b6e-35dfc0d3a473
task_key
default--test--11396
task_revision_id
1
config / split
default / test

Official source

initial import