GATE EE 2023 Set 1 — Question 64
Go beyond PYQs with Success TrackerAI-powered personalised practice and doubt support. Unlimited practice on eligible plans; AI usage limits apply.NAT+2 / -0HardBalanced Three-Phase CircuitsAC Power & Three-PhaseElectric CircuitsStar & Delta Connections
Electric Circuits → AC Power & Three-Phase → Balanced Three-Phase Circuits
Last updated
Question
A balanced delta connected load consisting of the series connection of one resistor () and a capacitor () in each phase is connected to three-phase, 50 Hz, 415 V supply terminals through a line having an inductance of per phase, as shown in the figure. Considering the change in the supply terminal voltage with loading to be negligible, the magnitude of the voltage across the terminals in Volts is _____________ (Round off to the nearest integer).
Correct answer
414 to 416
Solution
1.Calculate Line Reactance ():
2.Calculate Load Capacitive Reactance ():
3.Load Phase Impedance (Delta):
4.Convert Delta Load to Equivalent Star ():
5.Total Phase Impedance from Supply:
6.Calculate Voltage at Terminals:
Let the supply phase voltage be . The line current is .The phase voltage at the load terminals () is:
7.Magnitude of Terminal Voltage:
8.Line Voltage at Terminals:
Since the phase voltage magnitudes are equal, the line voltage magnitudes are also equal:.Rounding to the nearest integer, we get 415.
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…