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Stray Loss at Maximum Efficiency

A separately excited DC generator achieves maximum efficiency when terminal voltage is 220 V and induced EMF is 240 V. If the armature resistance is 0.25Ω, then what will be stray losses in the generator?
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Answer & Explanation
Correct AnswerB. 1600 W

Quick Explanation

At the stated operating point, armature current is Ia=(E−V)/Ra=(240−220)/0.25=80 A. Maximum efficiency occurs when variable copper loss equals constant/stray loss, so stray loss=Ia²Ra=80²×0.25=1600 W. This matches option B.

Formula / Key Relation

Ia=(240−220)/0.25=80A; stray loss=Ia²Ra=1.6kW
Stray Loss at Maximum Efficiency explanatory diagram

Detailed Explanation

Correct Answer

B — 1600 W

Concept and Reasoning

At the stated operating point, armature current is Ia=(E−V)/Ra=(240−220)/0.25=80 A. Maximum efficiency occurs when variable copper loss equals constant/stray loss, so stray loss=Ia²Ra=80²×0.25=1600 W. This matches option B.

Calculation / Key Relation

Ia=(240−220)/0.25=80A

stray loss=Ia²Ra=1.6kW

Exam Takeaway

Maximum efficiency condition: variable copper loss = constant loss.

Common Mistake

Use induced emf minus terminal voltage to obtain generator armature current.

Quick Trick

Maximum efficiency condition: variable copper loss = constant loss.

Common Mistake

Use induced emf minus terminal voltage to obtain generator armature current.

Exam Tip

Maximum efficiency condition: variable copper loss = constant loss.

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