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qid 11926 · engineering

Question: A six-pole, 30-slot dccommutatorgenerator has alapwound armature winding. The armature constant, K_a is 9.55. The generator is operated with a separately excited field such that the field flux per pole is 0.04weber/pole. The generator is driven at a speed of 3000 rpm. The no load armature voltage is 418.9 V. The above generator is now operated as a motor. The flux is 0.04weber/pole. It is desired to supply a load requiring a torque of 50 n-m at 4000 rpm. Armature circuit resistance is 0.075 ohm. Calculate (a) the backemf, (b) the required armature current and voltage to supply this load.

  1. Backemf: 155 V, Armature Current: 115.9 A, Armature Voltage: 154.8 V
  2. Backemf: 140 V, Armature Current: 160.9 A, Armature Voltage: 139.8 V
  3. Backemf: 170 V, Armature Current: 110.9 A, Armature Voltage: 179.8 V
  4. Backemf: 160 V, Armature Current: 130.9 A, Armature Voltage: 169.8 V
  5. Backemf: 150 V, Armature Current: 120.9 A, Armature Voltage: 159.8 V
  6. Backemf: 200 V, Armature Current: 100.9 A, Armature Voltage: 199.8 V
  7. Backemf: 190 V, Armature Current: 150.9 A, Armature Voltage: 189.8 V
  8. Backemf: 175 V, Armature Current: 125.9 A, Armature Voltage: 174.8 V
  9. Backemf: 180 V, Armature Current: 140.9 A, Armature Voltage: 179.8 V
  10. Backemf: 165 V, Armature Current: 135.9 A, Armature Voltage: 164.8 V

Our answer: D. Backemf: 160 V, Armature Current: 130.9 A, Armature Voltage: 169.8 V Source quote machine-checked (exact quote)

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How it was answered

Stored method, replayed by code (kind: formula)

card: formula · card sha256 28c667e0adbe9ac5…

Current source

electricaleasy.com, "EMF equation and Torque equation of a DC machine"

https://www.electricaleasy.com/2012/12/emf-and-torque-equation-of-dc-machine.html

“The term (PZ / 2πA) is constant for a given DC machine. Thus, the armature torque is directly proportional to the product of the flux and the armature current:”

Source quote machine-checked (exact quote)

retrieved 2026-09-18T01:07:43.085Z

page text sha256 6614904d35831bc5… · content sha256 4c3b77c1b3bb7082…

addendum formula_qid11926.formula_ADDENDUM_source_rs20260918T010743Z · sha256 e0bc01a99550f885… · replaces the version below, addendum sha256 7d52da7b220f09ce…

Earlier version (superseded)

https://en.wikipedia.org/wiki/DC_motor

Source weak (http_get_200_text_and_question_terms)

retrieved 2026-09-17T09:30:28.617Z

page text sha256 877b8edf5e0aeb48… · content sha256

addendum formula_qid11926.formula_ADDENDUM_source_bf20260917T093028Z · sha256 7d52da7b220f09ce… · replaces the version below, addendum sha256 14f20da82beee045…

Earlier version (superseded)

No public source has been found for this card yet (2 places checked internally).

addendum formula_qid11926.formula_ADDENDUM_source · sha256 14f20da82beee045…

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