GATE EE 2017 Set 2 — Question 51
Go beyond PYQs with Success TrackerAI-powered personalised practice and doubt support. Unlimited practice on eligible plans; AI usage limits apply.NAT+2 / -0MediumTransmission Line ParametersGeneration & TransmissionPower Systems
Power Systems → Generation & Transmission → Transmission Line Parameters
Last updated
Question
Consider an overhead transmission line with 3-phase, balanced system with conductors located at the vertices of an equilateral triangle of length as shown in figure below. The resistances of the conductors are neglected. The geometric mean radius (GMR) of each conductor is . Neglecting the effect of ground, the magnitude of positive sequence reactance in (rounded off to three decimal places) is __________.
Correct answer
0.271 to 0.301
Solution
For an equilateral triangle configuration, the inductance per phase is given by:Where and .Converting to mH/km:The positive sequence reactance at is:Rounding to three decimal places, we get .
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 Generation & Transmission
2026 Set 1 Q18Consider a power system with buses, of which are generator buses and the remaining are…2026 Set 1 Q19The initial three-phase voltage phasors (, , and ) at a bus of a…2026 Set 1 Q39In the circuit shown, the phase currents are A…2026 Set 1 Q40The operating characteristic of a reactance relay is given by , where is the…2026 Set 1 Q41A three-phase two-winding transformer has a voltage transformation ratio…