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MMLU-Pro / 8644 / If a series circuit has a capacitor of C=0.8 times 10^{-6} mathrm{~F} and an…

Problem

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

question

If a series circuit has a capacitor of $C=0.8 \times 10^{-6} \mathrm{~F}$ and an inductor of L=0.2HL=0.2 \mathrm{H}, find the resistance RR so that the circuit is critically damped.
Plain-text mathematical notation (without MathML)
If a series circuit has a capacitor of $C=0.8 \times 10^{-6} \mathrm{~F}$ and an inductor of L=0.2H, find the resistance R so that the circuit is critically damped.
Original LaTeX notation
If a series circuit has a capacitor of $C=0.8 \times 10^{-6} \mathrm{~F}$ and an inductor of $L=0.2 \mathrm{H}$, find the resistance $R$ so that the circuit is critically damped.

category

math

options

  1. 500 $\Omega$
  2. 400 $\Omega$
  3. 3000 $\Omega$
  4. 1250 $\Omega$
  5. 1000 $\Omega$
  6. 250 $\Omega$
  7. 1750 $\Omega$
  8. 2000 $\Omega$
  9. 750 $\Omega$
  10. 1500 $\Omega$

src

scibench-diff

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Source and history

upstream_id / Original problem ID
8644
task_id
2a21f794-2507-5222-9015-b1c42f51d638
task_key
default--test--8644
task_revision_id
1
config / split
default / test

Official source

initial import