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MMLU-Pro / 11691 / Two capacitor plates of area 240 …

Problem

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

question

Two capacitor plates of area 240 \pi cm^2 are separated 10 mm. The space between them is filled with several sheets of different dielectric, each of the same thickness, with the dielectric interfaces parallel to the plates. Find the capacitance if a) there are two dielectrics, \epsilon_(R)1 = 3.5 and \epsilon_(R)2 = 8.5; b) there are 10 dielectrics, \epsilon_R: 1.5, 2.5, .... 10.5; c) there is onenonhomogeneousdielectric, with\epsilon_Rvarying linearly from 1 to 11.

category

engineering

options

  1. 150 × 10^-12F, 182 × 10^-12 F, 278 PF
  2. 200 × 10^-12F, 282 × 10^-12 F, 350 PF
  3. 330 × 10^-12F, 250 × 10^-12 F, 400 PF
  4. 100 × 10^-12F, 282 × 10^-12 F, 278 PF
  5. 100 × 10^-12F, 300 × 10^-12 F, 250 PF
  6. 330 × 10^-12F, 150 × 10^-12 F, 300 PF
  7. 330 × 10^-12F, 282 × 10^-12 F, 278 PF
  8. 330 × 10^-12F, 200 × 10^-12 F, 278 PF
  9. 330 × 10^-12F, 282 × 10^-12 F, 500 PF
  10. 400 × 10^-12F, 282 × 10^-12 F, 278 PF

src

stemez-Electromagnetics

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Source and history

upstream_id / Original problem ID
11691
task_id
1d6e2e85-a151-5f88-b76c-1a0daeee8e5b
task_key
default--test--11691
task_revision_id
1
config / split
default / test

Official source

initial import