GATE EE 2017 Set 2 — Question 29
Go beyond PYQs with Success TrackerAI-powered personalised practice and doubt support. Unlimited practice on eligible plans; AI usage limits apply.MCQ+1 / -0.33MediumBalanced Three-Phase CircuitsAC Power & Three-PhaseElectric Circuits
Electric Circuits → AC Power & Three-Phase → Balanced Three-Phase Circuits
Last updated
Question
For the balanced Y-Y connected 3-phase circuit shown in the figure below, the line-line voltage is and the total power absorbed by the load is at a power factor of leading.The approximate value of the impedance is
Correct answer
(C) 60 -53.1^ Ω
Solution
Given:
Line-to-line voltage
Total power
Power factor leadingFor a Y-connected load, the phase voltage is:
The total power absorbed by a balanced 3-phase load is:
The magnitude of the phase impedance is:
The power factor angle is:
Since the power factor is leading, the load is capacitive, and the impedance angle is negative:
Therefore, .
Line-to-line voltage
Total power
Power factor leadingFor a Y-connected load, the phase voltage is:
The total power absorbed by a balanced 3-phase load is:
The magnitude of the phase impedance is:
The power factor angle is:
Since the power factor is leading, the load is capacitive, and the impedance angle is negative:
Therefore, .
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 AC Power & Three-Phase
2026 Set 1 Q23A circuit with ideal elements is shown. [figure] Which one of the following options correctly…2026 Set 1 Q24For the circuit shown, which one of the following options correctly identifies the Thevenin’s…2026 Set 1 Q25Refer to the four circuits shown. Which one of the following options for and …2026 Set 1 Q26A single-phase voltage source V delivers a current,…2026 Set 1 Q42An electrical component has voltage drop , when the current through it is…