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MMLU-Pro / 9653 / A long, straight wire has fixed negative charge with a linear charge density of…

Problem

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

question

A long, straight wire has fixed negative charge with a linear charge density of magnitude 3.6nC/m3.6 \mathrm{nC} / \mathrm{m}. The wire is to be enclosed by a coaxial, thin-walled nonconducting cylindrical shell of radius $1.5 \mathrm{~cm}$. The shell is to have positive charge on its outside surface with a surface charge density σ\sigma that makes the net external electric field zero. Calculate σ\sigma.
Plain-text mathematical notation (without MathML)
A long, straight wire has fixed negative charge with a linear charge density of magnitude 3.6nC/m. The wire is to be enclosed by a coaxial, thin-walled nonconducting cylindrical shell of radius $1.5 \mathrm{~cm}$. The shell is to have positive charge on its outside surface with a surface charge density σ that makes the net external electric field zero. Calculate σ.
Original LaTeX notation
A long, straight wire has fixed negative charge with a linear charge density of magnitude $3.6 \mathrm{nC} / \mathrm{m}$. The wire is to be enclosed by a coaxial, thin-walled nonconducting cylindrical shell of radius $1.5 \mathrm{~cm}$. The shell is to have positive charge on its outside surface with a surface charge density $\sigma$ that makes the net external electric field zero. Calculate $\sigma$.

category

physics

options

  1. $3.8$$10^{-8} \mathrm{C} / \mathrm{m}^2$
  2. $4.8 \times 10^{-8} \mathrm{C} / \mathrm{m}^2$
  3. $5.0 \times 10^{-8} \mathrm{C} / \mathrm{m}^2$
  4. $3.0 \times 10^{-8} \mathrm{C} / \mathrm{m}^2$
  5. $3.2$$10^{-8} \mathrm{C} / \mathrm{m}^2$
  6. $2.4 \times 10^{-8} \mathrm{C} / \mathrm{m}^2$
  7. $4.2$$10^{-8} \mathrm{C} / \mathrm{m}^2$
  8. $2.0 \times 10^{-8} \mathrm{C} / \mathrm{m}^2$
  9. $2.6$$10^{-8} \mathrm{C} / \mathrm{m}^2$
  10. $4.5 \times 10^{-8} \mathrm{C} / \mathrm{m}^2$

src

scibench-fund

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Source and history

upstream_id / Original problem ID
9653
task_id
e6d5af37-e0f6-5213-96a8-ea5bdd9ded4c
task_key
default--test--9653
task_revision_id
1
config / split
default / test

Official source

initial import