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MMLU-Pro / 10125 / Two conductors of the same length and material but of different cross-sectional…

Problem

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

question

Two conductors of the same length and material but of different cross-sectional area are connected (a) in series, and (b) in parallel. When a potential differ-ence is applied across the combinations, in which conductor will the heating be greater in each case?

category

physics

options

  1. No heating occurs in either conductor in both series and parallel connections.
  2. Heating depends on the material's resistivity rather than the cross-sectional area or type of connection.
  3. Greater in the conductor with the larger cross-sectional area when in series; greater in the conductor with the smaller cross-sectional area when in parallel.
  4. The heating is the same in both conductors regardless of cross-sectional area
  5. The heating is directly proportional to the cross-sectional area in series, but not affected in parallel.
  6. Greater in the conductor with the larger cross-sectional area regardless of connection
  7. Greater in the conductor with the smaller cross-sectional area regardless of connection
  8. Heating is inversely proportional to the cross-sectional area regardless of the type of connection.
  9. Greater in the conductor with the smaller cross-sectional area when in parallel; greater in the conductor with the larger cross-sectional area when in series.
  10. Greater in the conductor with the smaller cross-sectional area when in series; greater in the conductor with the larger cross-sectional area when in parallel.

src

stemez-Physics

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Source and history

upstream_id / Original problem ID
10125
task_id
e19f38a0-0a17-5060-b001-dc28a88d05c2
task_key
default--test--10125
task_revision_id
1
config / split
default / test

Official source

initial import