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MMLU-Pro / 11938 / There is an isolated positive point charge which has a value of 5 × 10^-10…

Problem

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question

There is an isolated positive point charge which has a value of 5 × 10^-10 coulombs. What is the magnitude of E and D at a distance of 30 cm when the charge is located (a) in air; (b) in a large tank of glycerin (\epsilon_r= 50)?

category

engineering

options

  1. E = 55 volts/meter and D = 5.00 × 10^-10 coulomb/meter^2 in air, E = 1.1 volts/meter and D = 4.98 × 10^-10 coulomb/meter^2 in glycerin
  2. E = 60 volts/meter and D = 5.44 × 10^-10 coulomb/meter^2 in air, E = 2 volts/meter and D = 5.42 × 10^-10 coulomb/meter^2 in glycerin
  3. E = 40 volts/meter and D = 3.44 × 10^-10 coulomb/meter^2 in air, E = 0.5 volts/meter and D = 3.42 × 10^-10 coulomb/meter^2 in glycerin
  4. E = 70 volts/meter and D = 6.34 × 10^-10 coulomb/meter^2 in air, E = 1.4 volts/meter and D = 6.32 × 10^-10 coulomb/meter^2 in glycerin
  5. E = 50 volts/meter and D = 4.44 × 10^-10 coulomb/meter^2 in air, E = 1 volt/meter and D = 4.42 × 10^-10 coulomb/meter^2 in glycerin
  6. E = 30 volts/meter and D = 2.44 × 10^-10 coulomb/meter^2 in air, E = 1.5 volts/meter and D = 2.42 × 10^-10 coulomb/meter^2 in glycerin
  7. E = 25 volts/meter and D = 2.27 × 10^-10 coulomb/meter^2 in air, E = 0.5 volts/meter and D = 2.25 × 10^-10 coulomb/meter^2 in glycerin
  8. E = 65 volts/meter and D = 5.88 × 10^-10 coulomb/meter^2 in air, E = 1.3 volts/meter and D = 5.86 × 10^-10 coulomb/meter^2 in glycerin
  9. E = 45 volts/meter and D = 4.14 × 10^-10 coulomb/meter^2 in air, E = 0.9 volts/meter and D = 4.12 × 10^-10 coulomb/meter^2 in glycerin
  10. E = 35 volts/meter and D = 3.18 × 10^-10 coulomb/meter^2 in air, E = 0.7 volts/meter and D = 3.16 × 10^-10 coulomb/meter^2 in glycerin

src

stemez-Electromagnetics

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Source and history

upstream_id / Original problem ID
11938
task_id
91dfbb39-faa1-5674-8a06-78a6c093b66e
task_key
default--test--11938
task_revision_id
1
config / split
default / test

Official source

initial import