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MMLU-Pro / 12189 / For point-to-point communication at higher frequencies, the desiredradiation…

Problem

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

question

For point-to-point communication at higher frequencies, the desiredradiation pattern is a single narrow lobe or beam. To obtainsuch a characteristic (at least approximately) a multi-elementlinear array is usually used. An array is linear whenthe elements of the ar-ray are spaced equally along a straightline. In a uniform linear array the elements are fed withcurrents of equal magnitude and having a uniform progressivephase shift along the line. The pattern of such anarray can be obtained by addingvectoriallythe field strengthsdue to each of the elements. For a uniform array of non-directionalelements the field strength would be E_T = E_0 \vert1 +e^J\psi+ e^J2\psi + e^J3\psi + ... +e^j^(^n-1)\psi \vert(1) where \psi =\betadcos\textphi + \alpha and\alpha is the progressive phase shift between elements, (\alpha is theangle by which the current in any element leads the currentin the preceding element.) Compute the pattern of such a linear array.

category

engineering

options

  1. 0.512
  2. 0.612
  3. 0.212
  4. 0.212 (with a different phase shift)
  5. 0.412
  6. 0.312
  7. 0.112
  8. 0.712
  9. 0.912
  10. 0.112 (with a different element spacing)

src

stemez-ElectronicCommunications

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Source and history

upstream_id / Original problem ID
12189
task_id
6ede9c60-7131-528d-8f77-f76ab3e090a0
task_key
default--test--12189
task_revision_id
1
config / split
default / test

Official source

initial import