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Above saturation, the torque of a dc series motor varies as

  • A.the square of the armature current, as it does below saturation
  • B.the cube of the armature current
  • C.the inverse of the armature current
  • D.the armature current, in nearly direct proportion

Answer: D

Correct answer: the armature current, in nearly direct proportion

Once the iron saturates the flux can grow no further, so \( \Phi \) becomes effectively constant and

\[ T = k\Phi I_a \propto I_a \]

The characteristic therefore straightens out at high currents, and the series motor behaves much like a shunt machine there. The square law applies only in the unsaturated region, which is where the machine works at starting.

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