GATE EE 2014 Set 3 — Question 46
Go beyond PYQs with Success TrackerAI-powered personalised practice and doubt support. Unlimited practice on eligible plans; AI usage limits apply.MCQ+2 / -0.67MediumOC & SC TestsSingle-Phase TransformersElectrical MachinesLosses & Max Efficiency
Electrical Machines → Single-Phase Transformers → Losses & Max Efficiency
Last updated
Question
An open circuit test is performed on 50 Hz transformer, using variable frequency source and keeping V/f ratio constant, to separate its eddy current and hysteresis losses. The variation of core loss/frequency as function of frequency is shown in the figure
Correct answer
(B) 250 W and 62.5W
Solution
Core loss is the sum of hysteresis loss and eddy current loss .
When is constant, and .
Thus, .
From the given graph of vs :
Hysteresis loss W.
Eddy current loss W.
Therefore, the losses are 250 W and 62.5 W respectively.
When is constant, and .
Thus, .
From the given graph of vs :
1.At , the intercept W/Hz.
2.At Hz, W/Hz.
Substituting these into the equation: W/Hz.At Hz:Hysteresis loss W.
Eddy current loss W.
Therefore, the losses are 250 W and 62.5 W respectively.
Continue learning with Success Tracker
A step still unclear? Work through it with support
Use Success Tracker to ask about the reasoning, then try another GATE EE question to check your understanding.
AI-powered practice· Unlimited practice on eligible plans
- PYQs with solutions
- Attempt available previous-year questions, then compare your reasoning with the worked solution. Coverage varies by stream.
- Practice that adapts
- Choose a topic, work on weaker areas and bookmark questions to revisit. Your attempts feed your progress tracking.
- AI doubt support
- Ask follow-up questions about a step or concept while practising, instead of stopping at the final answer.
Unlimited practice is available on eligible plans. Free practice and AI usage have limits; check the current plan allowances before choosing.
This page stays readable without an account. AI responses can be wrong; check them against the solution and source material.
More questions on Single-Phase Transformers
2026 Set 1 Q17A 15 kVA, 1100 V/220 V, single-phase two-winding transformer is configured as a 1.32 kV/1.1 kV…2026 Set 1 Q20A certain application requires power at a frequency of , while the available grid…2026 Set 1 Q21Which one of the following options is correct regarding the typical double-squirrel-cage structure…2026 Set 1 Q22The figure shows the single-line diagram of a synchronous generator delivering …2026 Set 1 Q31A 220V/12V single-phase transformer is designed for use in India and rated 100 VA at 50 Hz. Later,…