# MMLU-Pro / 11691

task_id: 1d6e2e85-a151-5f88-b76c-1a0daeee8e5b
task_key: default--test--11691
task_revision_id: 1

{"category":"engineering","options":"['150 × 10^-12F, 182 × 10^-12 F, 278 PF', '200 × 10^-12F, 282 × 10^-12 F, 350 PF', '330 × 10^-12F, 250 × 10^-12 F, 400 PF', '100 × 10^-12F, 282 × 10^-12 F, 278 PF', '100 × 10^-12F, 300 × 10^-12 F, 250 PF', '330 × 10^-12F, 150 × 10^-12 F, 300 PF', '330 × 10^-12F, 282 × 10^-12 F, 278 PF', '330 × 10^-12F, 200 × 10^-12 F, 278 PF', '330 × 10^-12F, 282 × 10^-12 F, 500 PF', '400 × 10^-12F, 282 × 10^-12 F, 278 PF']","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.","src":"stemez-Electromagnetics"}

Source: https://huggingface.co/datasets/TIGER-Lab/MMLU-Pro

initial import

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