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With reference to the design of the armature coil of a DC machine, if \(Y_F\) is front pitch and \(Y_B\) is back pitch, the average pitch is:

  • A.\(\frac{Y_B + Y_F}{2}\)
  • B.\(\frac{Y_B - Y_F}{2}\)
  • C.\((Y_B - Y_F)\)
  • D.\((Y_B + Y_F)\)

Answer: A

The average pitch is (Y_B + Y_F)/2. In the armature winding of a DC machine, the back pitch Y_B and the front pitch Y_F are the distances traversed on the back and front of the armature, and the average of the two is called the average pitch.

\[ Y_A = \frac{Y_B + Y_F}{2} \]

The expression (Y_B - Y_F) is the resultant pitch of a lap winding, and half of that difference is not an average pitch, while the plain sum is not an average. So the first option is correct.

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