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The mean armature voltage of a step-down chopper of duty ratio \( D \) fed from \( V_s \) is

  • A.\( V_s/D \)
  • B.\( (1 - D)V_s \)
  • C.\( D^2V_s \)
  • D.\( DV_s \)

Answer: D

Correct answer: \( DV_s \)

The chopper connects the supply to the load for a fraction \( D \) of each period and disconnects it for the rest, so the mean voltage is

\[ V_a = DV_s \]

Varying the duty ratio between 0 and 1 therefore gives any armature voltage from zero to the full supply, continuously and with very little loss - which is the whole advantage of chopper control over the resistance control it replaced.

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