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A separately excited, 200 V, DC motor runs with a speed of 1500 rpm at no load current of 5 A. When operated at full load current is found to be 50 A.
Question

A separately excited, 200 V, DC motor runs with a speed of 1500 rpm at no load current of 5 A. When operated at full load current is found to be 50 A. Assuming constant flux operation with armature resistance of 0.2 Ω, calculate full load speed.

A.

1400 rpm

B.

1578 rpm

C.

1432 rpm

D.

1500 rpm

Correct option is C

· N₁ = 1500 rpm
· V = 200 V
· Ra = 0.2 Ω
· Ia at no load = 5 A
· Ia at full load = 50 A
Step 1: ENL = 200 - 0.2 × 5 ENL = 199 V
Step 2: EFL = V - Ia × Ra EFL = 200 - 0.2 × 50 EFL = 190 V
Step 3: 199/1500=190/N2
Step 4: N₂ = 1432 rpm

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