Discussion
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:
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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