An 8-pole de generator running at 1200rpm and with a flux of 25 m Wb per pole generates
440 V. Calculate the number of conductors, if the armature is (i) lap-wound (ii) wave
wound.
Answers
Answer:
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Step-by-step explanation:
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Given : A 8-pole dc generator running at 1200rpm and with a flux of 25 mWb per pole generates 440 V.
To find : The number of conductors, if the armature is (i) lap-wound (ii) wave wound.
Solution :
We can simply solve this mathematical problem by using the following mathematical process. (our goal is to calculate the number of conductors)
In case of lap wound :
Number of poles (P) = 8
Number of parallel paths (A) = Number of poles (P) = 8 (as it is lap wound)
Flux per pole (φ) = 25 mWb = (25 × 10⁻³) Wb
Speed (N) = 1200 rpm
Induced EMF = 440V
Number of conductors (Z) = ? (unknown)
Now, we know that :
Induced EMF = (φZNP)/60A
or,
440 = (25 × 10⁻³ × Z × 1200 × 8)/(60 × 8)
0.5 × Z = 440
Z = 440/0.5
Z = 880
Number of conductors (Z) = 880
In case of wave wound :
Number of poles (P) = 8
Number of parallel paths (A) = 2
Flux per pole (φ) = 25 mWb = (25 × 10⁻³) Wb
Speed (N) = 1200 rpm
Induced EMF = 440V
Number of conductors (Z) = ? (unknown)
Now, we know that :
Induced EMF = (φZNP)/60A
or,
440 = (25 × 10⁻³ × Z × 1200 × 8)/(60 × 2)
2 × Z = 440
Z = 440/2
Z = 220
Number of conductors (Z) = 220
Hence, the number of conductors are 440 and 220, in case of lap wound and wave wound, respectively.