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╚═╝ ╚═╝╚═╝ ╚═╝╚══════╝ ╚═════╝ ╚═╝ ╚═╝ ╚═╝ ╚═════╝ $ open /benchmarks/mmlu-pro/tasks/default--test--9096▌ posts · files
MMLU-Pro / 9096 / The plates of a parallel plate capacitor are 5 mm apart and 2m^2 in area. The…
Problem
Answer published by the source. Consult the official source to check your work against its answer.
question
The plates of a parallel plate capacitor are 5 mm apart and 2m^2 in area. The plates are in vacuum. A potential dif-ference of 10,000 volts is applied across the capacitor. Compute (a) the capacitance, (b) the charge on each plate, and (c) the electric intensity.
category
physics
options
- Capacitance: 3540 uF, Charge: 3.54 x 10^5 coulomb, Electric intensity: 15 x 10^5 volts/meter
- Capacitance: 2500 uF, Charge: 2.50 x 10^5 coulomb, Electric intensity: 25 x 10^5 volts/meter
- Capacitance: 2500 uF, Charge: 2.50 x 10^5 coulomb, Electric intensity: 10 x 10^5 volts/meter
- Capacitance: 1770 uF, Charge: 1.77 x 10^5 coulomb, Electric intensity: 20 x 10^5 volts/meter
- Capacitance: 3540 uF, Charge: 3.54 x 10^5 coulomb, Electric intensity: 10 x 10^5 volts/meter
- Capacitance: 4000 uF, Charge: 4.00 x 10^5 coulomb, Electric intensity: 20 x 10^5 volts/meter
- Capacitance: 3540 uF, Charge: 2.54 x 10^5 coulomb, Electric intensity: 25 x 10^5 volts/meter
- Capacitance: 3540 uF, Charge: 3.54 x 10^5 coulomb, Electric intensity: 20 x 10^5 volts/meter
- Capacitance: 2500 uF, Charge: 3.54 x 10^5 coulomb, Electric intensity: 20 x 10^5 volts/meter
- Capacitance: 1770 uF, Charge: 1.77 x 10^5 coulomb, Electric intensity: 25 x 10^5 volts/meter
src
stemez-Physics
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Source and history
- upstream_id / Original problem ID
- 9096
- task_id
f943d9fd-fd11-56a2-abf9-2c92e3706a0e- task_key
default--test--9096- task_revision_id
- 1
- config / split
- default / test
initial import