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MMLU-Pro / 11767 / The nonlinear characteristic of a capacitor is given by q(t) = 0.5

Problem

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

question

The nonlinear characteristic of a capacitor is given by q(t) = 0.5\nu^2 (t) The voltage across this capacitor is given by \nu(t) = 1 + 0.5 sin t Find the current through this capacitor.

category

engineering

options

  1. i(t) = 0.5cos t + 0.25 sin 2t
  2. i(t) = .5cos 2t + .125 sin 2t
  3. i(t) = 0.5cos 2t + 0.125 cos t
  4. i(t) = .5sin + .125 cos 2t
  5. i(t) = 1.0cos t + 0.125 sin 2t
  6. i(t) = .5cost + .125 sin t
  7. i(t) = .5cost + .125 sin 2t
  8. i(t) = ν(t)sin t + 0.125 cos t
  9. i(t) = ν(t)cos t + 0.25 sin t
  10. i(t) = 0.5sin t + 0.125 sin t

src

stemez-ElectricCircuits

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Source and history

upstream_id / Original problem ID
11767
task_id
1dd0606b-e752-5e16-9a57-0f5b12c3f964
task_key
default--test--11767
task_revision_id
1
config / split
default / test

Official source

initial import