A DC generator efficiency is maximum when:

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  1. Constant loss - variable loss = 1
  2. Variable loss - Constant loss = 1
  3. Variable loss - Constant loss = 0
  4. Variable loss + Constant loss = 1

Answer (Detailed Solution Below)

Option 3 : Variable loss - Constant loss = 0
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Efficiency is defined as the ratio of output power to the input power.

Generator efficiency is given by the equation

The efficiency of a DC generator is maximum when those losses proportional to the square of the load current.

Variable losses are equal to the constant losses of the DC generator i.e. armature circuit loss is equal to the sum of no-load rotational loss and field circuit loss.

Variable loss - Constant loss = 0

Mechanical losses = friction loss of bearings + friction loss at a commutator + windage loss.

Core losses = hysteresis loss + eddy current loss

Stray loss = mechanical loss + core loss

Constant losses = Shunt field copper losses + stray loss

Constant losses are almost fixed and do not vary with the load current

Current at maximum efficiency 

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