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MMLU-Pro / 12084 / A two-pole dc generator has an armature containing a total of 40 conductors…

Problem

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question

A two-pole dc generator has an armature containing a total of 40 conductors connected in two parallel paths. The flux per pole is 6.48 × 10^8 lines, and the speed of the prime mover is 30 rpm. The resistance of each conductor is 0.01 ohm, and the current-carrying capacity of each conductor is 10 A. Calculate: (a) The average generated voltage per path and the generated armature voltage (b) The armature current delivered to an external load (c) The armature resistance (d) The terminal voltage of the generator.

category

engineering

options

  1. Average generated voltage per path and the generated armature voltage: 110 V, Armature current delivered to an external load: 12 A, Armature resistance: 0.08 Ω, Terminal voltage of the generator: 110.4 V
  2. Average generated voltage per path and the generated armature voltage: 130 V, Armature current delivered to an external load: 24 A, Armature resistance: 0.18 Ω, Terminal voltage of the generator: 125.7 V
  3. Average generated voltage per path and the generated armature voltage: 150 V, Armature current delivered to an external load: 18 A, Armature resistance: 0.25 Ω, Terminal voltage of the generator: 135 V
  4. Average generated voltage per path and the generated armature voltage: 129.6 V, Armature current delivered to an external load: 20 A, Armature resistance: 0.1 Ω, Terminal voltage of the generator: 127.6 V
  5. Average generated voltage per path and the generated armature voltage: 135.6 V, Armature current delivered to an external load: 22 A, Armature resistance: 0.15 Ω, Terminal voltage of the generator: 132.6 V
  6. Average generated voltage per path and the generated armature voltage: 160 V, Armature current delivered to an external load: 30 A, Armature resistance: 0.3 Ω, Terminal voltage of the generator: 151 V
  7. Average generated voltage per path and the generated armature voltage: 140 V, Armature current delivered to an external load: 25 A, Armature resistance: 0.2 Ω, Terminal voltage of the generator: 130 V
  8. Average generated voltage per path and the generated armature voltage: 125 V, Armature current delivered to an external load: 28 A, Armature resistance: 0.2 Ω, Terminal voltage of the generator: 119 V
  9. Average generated voltage per path and the generated armature voltage: 115 V, Armature current delivered to an external load: 10 A, Armature resistance: 0.12 Ω, Terminal voltage of the generator: 113.8 V
  10. Average generated voltage per path and the generated armature voltage: 120 V, Armature current delivered to an external load: 15 A, Armature resistance: 0.05 Ω, Terminal voltage of the generator: 120 V

src

stemez-ElectricalMachines

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Source and history

upstream_id / Original problem ID
12084
task_id
16b54614-627b-5ef4-8776-af7d818fdcaa
task_key
default--test--12084
task_revision_id
1
config / split
default / test

Official source

initial import