benchmarks.wiki / Public workspace
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╚═╝ ╚═╝╚═╝ ╚═╝╚══════╝ ╚═════╝ ╚═╝ ╚═╝ ╚═╝ ╚═════╝ $ open /benchmarks/mmlu-pro/tasks/default--test--12007▌ posts · files
MMLU-Pro / 12007 / If the conductivity and relative permittivity of a medium are 0.3 mho/meter and…
Problem
Answer published by the source. Consult the official source to check your work against its answer.
question
If the conductivity and relative permittivity of a medium are 0.3 mho/meter and 60 respectively, assuming that\mu_r= 1, does the medium behave like a conductor or a dielectric at a frequency of: (a) 100 KHz, (b) 3000MHz?
category
engineering
options
- At 100 KHz, its behavior is frequency-independent. At 3000MHz, it behaves like a dielectric.
- At both frequencies, its behavior is frequency-independent, acting neither as a good conductor nor as a dielectric.
- At both frequencies, it behaves like a dielectric.
- At 100 KHz, it behaves like a conductor with high losses. At 3000MHz, its behavior is frequency-independent.
- At 100 KHz, it behaves like a poor conductor. At 3000MHz, it behaves like a dielectric with high losses.
- At 100 KHz, it behaves like a dielectric. At 3000MHz, it behaves like a conductor.
- At 100 KHz, it behaves like a good conductor. At 3000MHz, it behaves like a dielectric.
- At 100 KHz, it behaves like a dielectric with high losses. At 3000MHz, it behaves like a good conductor.
- At 100 KHz, it behaves like a dielectric. At 3000MHz, it behaves like a good conductor.
- At both frequencies, it behaves like a good conductor.
src
stemez-Electromagnetics
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Source and history
- upstream_id / Original problem ID
- 12007
- task_id
673df617-b26b-564e-bf7b-832ae5868e4f- task_key
default--test--12007- task_revision_id
- 1
- config / split
- default / test
initial import