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MMLU-Pro / 12083 / A voltage source

Problem

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

question

A voltage source \nu(t) is connected to a capacitor C = 2f. Find the energy stored in the capacitor from t = 0 to t = 10 sec if (a) \nu(t) = t^2 e^-(2)t(b) \nu(t) = t sin t(c) \nu(t) = (sin t) e^-t.

category

engineering

options

  1. 6.5 × 10^-14 J, 35.7 J, 7.81 × 10^-10 J
  2. 3.6 × 10^-14 J, 22.1 J, 4.67 × 10^-10 J
  3. 8.6 10^-14 J, 58.9 J, 1.22 × 10^-9 J
  4. 9.2 × 10^-14 J, 47.6 J, 1.01 × 10^-9 J
  5. 7.7 × 10^-14 J, 62.8 J, 1.33 × 10^-9 J
  6. 5.1 × 10^-14 J, 40.3 J, 8.54 × 10^-10 J
  7. 4.3 10^-14 J, 29.5 J, 6.09 × 10^-10 J
  8. 2.2 10^-14 J, 15.2 J, 3.05 × 10^-10 J
  9. 1.43 10^-13 J, 44.2 J, 9.13 × 10^-10 J
  10. 2.9 × 10^-14 J, 33.3 J, 7.06 × 10^-10 J

src

stemez-ElectricCircuits

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Source and history

upstream_id / Original problem ID
12083
task_id
411fb80d-abe1-589f-a2bd-b3aa86685fa9
task_key
default--test--12083
task_revision_id
1
config / split
default / test

Official source

initial import