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MMLU-Pro / 9234 / A square metal plate of edge length 8.0 mathrm{~cm} and negligible thickness…

Problem

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

question

A square metal plate of edge length $8.0 \mathrm{~cm}$ and negligible thickness has a total charge of 6.0×10−6C6.0 \times 10^{-6} \mathrm{C}. Estimate the magnitude EE of the electric field just off the center of the plate (at, say, a distance of $0.50 \mathrm{~mm}$ from the center) by assuming that the charge is spread uniformly over the two faces of the plate.
Plain-text mathematical notation (without MathML)
A square metal plate of edge length $8.0 \mathrm{~cm}$ and negligible thickness has a total charge of 6.0×10^(−6)C. Estimate the magnitude E of the electric field just off the center of the plate (at, say, a distance of $0.50 \mathrm{~mm}$ from the center) by assuming that the charge is spread uniformly over the two faces of the plate.
Original LaTeX notation
A square metal plate of edge length $8.0 \mathrm{~cm}$ and negligible thickness has a total charge of $6.0 \times 10^{-6} \mathrm{C}$. Estimate the magnitude $E$ of the electric field just off the center of the plate (at, say, a distance of $0.50 \mathrm{~mm}$ from the center) by assuming that the charge is spread uniformly over the two faces of the plate.

category

physics

options

  1. $9.3 \times 10^7 \mathrm{~N} / \mathrm{C}$
  2. $4.9 \times 10^7 \mathrm{~N} / \mathrm{C}$
  3. $1.5 \times 10^7 \mathrm{~N} / \mathrm{C}$
  4. $5.4$$10^7 \mathrm{~N} / \mathrm{C}$
  5. $8.5 \times 10^7 \mathrm{~N} / \mathrm{C}$
  6. $3.8 \times 10^7 \mathrm{~N} / \mathrm{C}$
  7. $2.1 \times 10^7 \mathrm{~N} / \mathrm{C}$
  8. $6.2 \times 10^7 \mathrm{~N} / \mathrm{C}$
  9. $7.1 \times 10^7 \mathrm{~N} / \mathrm{C}$
  10. $4.2 \times 10^7 \mathrm{~N} / \mathrm{C}$

src

scibench-fund

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Source and history

upstream_id / Original problem ID
9234
task_id
23adb46a-ed98-50e1-95d4-3509d1189a66
task_key
default--test--9234
task_revision_id
1
config / split
default / test

Official source

initial import