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MMLU-Pro / 9770 / Two long, charged, thin-walled, concentric cylindrical shells have radii of 3.0…

Problem

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

question

Two long, charged, thin-walled, concentric cylindrical shells have radii of 3.0 and $6.0 \mathrm{~cm}$. The charge per unit length is 5.0×10−6C/m5.0 \times 10^{-6} \mathrm{C} / \mathrm{m} on the inner shell and −7.0×10−6C/m-7.0 \times 10^{-6} \mathrm{C} / \mathrm{m} on the outer shell. What is the magnitude EE of the electric field at radial distance $r=4.0 \mathrm{~cm}$?
Plain-text mathematical notation (without MathML)
Two long, charged, thin-walled, concentric cylindrical shells have radii of 3.0 and $6.0 \mathrm{~cm}$. The charge per unit length is 5.0×10^(−6)C/m on the inner shell and −7.0×10^(−6)C/m on the outer shell. What is the magnitude E of the electric field at radial distance $r=4.0 \mathrm{~cm}$?
Original LaTeX notation
Two long, charged, thin-walled, concentric cylindrical shells have radii of 3.0 and $6.0 \mathrm{~cm}$. The charge per unit length is $5.0 \times 10^{-6} \mathrm{C} / \mathrm{m}$ on the inner shell and $-7.0 \times 10^{-6} \mathrm{C} / \mathrm{m}$ on the outer shell. What is the magnitude $E$ of the electric field at radial distance $r=4.0 \mathrm{~cm}$?

category

physics

options

  1. $3.0 \times 10^6 \mathrm{~N} / \mathrm{C}$
  2. $4.5 \times 10^6 \mathrm{~N} / \mathrm{C}$
  3. $0 \mathrm{~N} / \mathrm{C}$
  4. $1.2 \times 10^6 \mathrm{~N} / \mathrm{C}$
  5. $2.9 \times 10^6 \mathrm{~N} / \mathrm{C}$
  6. $2.3$$10^6 \mathrm{~N} / \mathrm{C} $
  7. $3.6 \times 10^6 \mathrm{~N} / \mathrm{C}$
  8. $1.8 \times 10^6 \mathrm{~N} / \mathrm{C}$
  9. $2.0 \times 10^6 \mathrm{~N} / \mathrm{C}$
  10. $5.2 \times 10^6 \mathrm{~N} / \mathrm{C}$

src

scibench-fund

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Source and history

upstream_id / Original problem ID
9770
task_id
18895a65-002f-50c0-b0b8-b631c9a1cfa0
task_key
default--test--9770
task_revision_id
1
config / split
default / test

Official source

initial import