benchmarks.wiki / Public workspace
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╚═╝ ╚═╝╚═╝ ╚═╝╚══════╝ ╚═════╝ ╚═╝ ╚═╝ ╚═╝ ╚═════╝ $ open /benchmarks/mmlu-pro/tasks/default--test--11572▌ posts · files
MMLU-Pro / 11572 / Given the transfer function of a two port network H( …
Problem
Answer published by the source. Consult the official source to check your work against its answer.
question
Given the transfer function of a two port network H( \omega ) = \vertH(\omega_0)\vert exp(-j\textphi). \omega Derive an expression for output as a function of time, for the single frequency input v_i =cos\omega_0t. \omega
category
engineering
options
- |H(ω_0)|cos(2ω_0t - φ)
- ertH(\omega_0) ertcos(\omega_0t)
- |H(ω_0)|exp(-jω_0t)
- ertH(\omega_0) ertcos(\omega_0t - extphi)
- ertH(\omega_0) ertcos(\omega_0t + extphi)
- |H(ω_0)|exp(jω_0t)
- |H(ω_0)|sin(2ω_0t + φ)
- |H(ω_0)|sin(ω_0t - φ)
- |H(ω_0)|sin(ω_0t + φ)
- ertH(\omega_0) ertsin(\omega_0t - extphi)
src
stemez-ElectronicCommunications
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Source and history
- upstream_id / Original problem ID
- 11572
- task_id
a4f1bf9d-fe4f-58de-b652-8c535945700d- task_key
default--test--11572- task_revision_id
- 1
- config / split
- default / test
initial import