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A dc motor drawing 40 A at 220 V with an armature resistance of 0.5 Ω and negligible field current develops a back emf of

  • A.200 V
  • B.240 V
  • C.220 V
  • D.20 V

Answer: A

Correct answer: 200 V

From the armature circuit equation,

\[ E = V - I_aR_a = 220 - 40 \times 0.5 = 220 - 20 = 200 \text{ V} \]

The back emf takes 91 per cent of the applied voltage. Note that this same machine at standstill would draw \( 220/0.5 = 440 \) A, eleven times its running current, which is why it needs a starter.

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