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MMLU-Pro / 11636 / The transfer function of an RC low-pass filter is given as H(f) = [1 / 1…

Problem

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

question

The transfer function of an RC low-pass filter is given as H(f) = [1 / {1 +jf/f_c}] wheref_cis the 3-dB frequency. If the input to this filter is a white noise, find the output noise power N_0 of the filter.

category

engineering

options

  1. \((\eta f_c\pi) / 8\)
  2. \(5(\eta f_c\pi) / 2\)
  3. (\etaf_c\pi) / 3
  4. \(\eta f_c\)
  5. (\etaf_c\pi) / 2
  6. (\etaf_c\pi) / 4
  7. \(3(\eta f_c\pi) / 4\)
  8. \(4(\eta f_c\pi)\)
  9. 2(\etaf_c\pi)
  10. \(\eta f_c / \pi\)

src

stemez-ElectronicCommunications

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Source and history

upstream_id / Original problem ID
11636
task_id
7a43593a-fd79-5106-ac30-8b267e837733
task_key
default--test--11636
task_revision_id
1
config / split
default / test

Official source

initial import