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The power developed by a cylindrical rotor synchronous motor varies with the torque angle as

  • A.\( \cos\delta \)
  • B.\( \delta \) itself
  • C.\( \sin 2\delta \)
  • D.\( \sin\delta \)

Answer: D

Correct answer: \( \sin\delta \)

For a cylindrical rotor machine with negligible armature resistance,

\[ P = \frac{EV}{X_s}\sin\delta \]

where \( E \) is the excitation emf, \( V \) the terminal voltage and \( X_s \) the synchronous reactance. The power therefore rises with \( \delta \) to a maximum at 90 degrees and falls thereafter. A salient pole machine adds a reluctance term in \( \sin 2\delta \), which shifts its maximum below 90 degrees, but the cylindrical rotor machine has only the fundamental term.

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