How to calculate the resistance of a lap wound armature?

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SUMMARY

The resistance of a 4 pole lap wound armature with 16 coils, each having a resistance of 0.1 ohms, is calculated to be 0.1 ohms. This is derived from the fact that there are 4 parallel paths in the armature winding, leading to a total resistance calculation of 1/R = (1/0.4)*4. The confusion arises from the straightforward calculation of 16 coils resulting in 1.6 ohms, which is incorrect due to the parallel configuration of the windings. Understanding the parallel path concept is crucial for accurate resistance calculations in electrical machines.

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  • Basic principles of electromagnetism related to motors
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Homework Statement



A 4 pole lap wound armature has 16 coils, each with a resistance of 0.1 ohms. Calculate the resistance of the armature?

Homework Equations

The Attempt at a Solution


Hi there fellow members,

I'm currently doing a section of my course which deals with Electrical machines. The lesson that I am on at the moment is dealing with Armature windings ( lap and wave ).

There are two diagrams in the lesson but they are confusing.

One leads me to think that the total resistance would be 16*.01 ='s 1.6 ohms

The other one leads me to think that there are 4 parallel paths. 4*4 = 16

4*0.1=0.4 so total resistance is

1/R = (1/0.4)*4

R = 1/10

R = 0.1 ohms

With the fact that it's a question being asked I would think that the 1.6 is a bit straight forward so I'm leaning towards the 0.1 ohms answer.

Any help/suggestions would be greatly appreciated :)

Neil

P.S Thanks for taking the time to read the question!
 
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Neil Hayes said:
The other one leads me to think that there are 4 parallel paths. 4*4 = 16

4*0.1=0.4 so total resistance is

1/R = (1/0.4)*4

R = 1/10

R = 0.1 ohms
That's correct.
 
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cnh1995 said:
That's correct.
Thanks cnh1995 :)

Do you mind if I ask why we have 4 parallel paths? Is this standard for a 4 pole lap wound armature? Having the answer is good but understanding why is the best thing and my lesson notes are fairly unclear, to say the least!
 

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