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The emf generated by a dc machine is given by

  • A.\( P\Phi ZN/60A \)
  • B.\( 60A/P\Phi ZN \)
  • C.\( P\Phi ZN A/60 \)
  • D.\( \Phi ZN/60 \)

Answer: A

Correct answer: \( P\Phi ZN/60A \)

Each conductor cuts \( \Phi P \) webers per revolution and there are \( N/60 \) revolutions per second, so a single conductor generates \( P\Phi N/60 \) volts. With \( Z \) conductors arranged in \( A \) parallel paths, \( Z/A \) of them are in series in each path, giving

\[ E = \frac{P\Phi ZN}{60A} \]

Everything about the machine’s voltage follows from this: the emf is proportional to flux and to speed, and it depends on the winding only through \( P/A \), which is \( 1 \) for lap and \( P/2 \) for wave.

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