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MMLU-Pro / 11399 / Describe the charges required to obtain the field D= r + (1 / r^2)U (r_0 -…

Problem

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

question

Describe the charges required to obtain the field D= {r + (1 / r^2)}U (r_0 - r)1_r

category

engineering

options

  1. No uniform charge density, a surface charge of - [r_0 + (1/r_0)] on the sphere of radius r = r_0, and an additional point charge of 4π coulombs at the origin.
  2. A uniform charge density of 2 C/m^3, a surface charge of - [r_0 + (1/r_0^2)] on the sphere of radius r = r_0, and an additional point charge of 2π coulombs at the origin.
  3. A uniform charge density of 4 C/m^3, no surface charge on the sphere, and an additional point charge of 4π coulombs at the origin.
  4. A uniform charge density of 3 C/m^3, a surface charge of - [2r_0 + (1/r_0^2)] on the sphere of radius r = r_0, and an additional point charge of π coulombs at the origin.
  5. A uniform charge density of 3 C/m^3, a surface charge of - [r_0 + (1/r_0^2)] on the sphere of radius r = r_0, and an additional point charge of 2π coulombs at the origin.
  6. A uniform charge density of 2.5 C/m^3, a surface charge of - [r_0 + (1/r_0)] on the sphere of radius r = r_0, and an additional point charge of 5π coulombs at the origin.
  7. A uniform charge density of 2 C/m^3, a surface charge of - [r_0 + (1/r_0^2)] on the sphere of radius r = r_0, and an additional point charge of 4π coulombs at the origin.
  8. A uniform charge density of 3 C/m^3, a surface charge of - [r_0 + (1/r_0^3)] on the sphere of radius r = r_0, and an additional point charge of 2π coulombs at the origin.
  9. A uniform charge density of 1 C/m^3, a surface charge of - [r_0 + (2/r_0^2)] on the sphere of radius r = r_0, and an additional point charge of 3π coulombs at the origin.
  10. A uniform charge density of 3 C/m^3, a surface charge of - [r_0 + (1/r_0^2)] on the sphere of radius r = r_0, and an additional point charge of 4π coulombs at the origin.

src

stemez-Electromagnetics

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Source and history

upstream_id / Original problem ID
11399
task_id
7c8820e9-9ccb-533c-b4b5-ad72631865ec
task_key
default--test--11399
task_revision_id
1
config / split
default / test

Official source

initial import