n a lap winding for a 4 pole machine, the number of parallel paths will bea. 4b.8c.2d.15

To determine the number of parallel paths in a lap winding for a 4-pole machine, we can analyze the characteristics of lap winding in relation to the number of poles.

Step 1: Break Down the Problem

• Identify the type of winding (lap winding).
• Understand how the number of poles affects the number of parallel paths.

Step 2: Relevant Concepts

In a lap winding:

• The number of parallel paths (P) can be calculated using the formula:

$P = \text{Number of poles}$

Step 3: Analysis and Detail

• In a 4-pole machine, using the formula, we find that the number of parallel paths is equal to the number of poles:

$P = 4$

Step 4: Verify and Summarize

• Since we know the formula is correct and properly reflects the characteristics of lap winding, the result holds.

Final Answer

The number of parallel paths in a lap winding for a 4-pole machine is 4 (Option a).