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GATE 2026 EE Q.39: official answer

GATE 2026 · EEQ.39 · 2 marks · MCQ

In the circuit shown, the phase currents are A, A, A. Given that the CTs are ideal with no saturation, and the turns ratio of the Main CT is 300:5 and that of the Auxiliary Transformer (YnΔ) is 2:1 on every phase, the value of , rounded off to three decimal places, is:

GATE 2026 EE question 39: Three phase conductors carrying I_A, I_B, I_C pass through three Main CTs (300:5).Tap to open full size
Figure from the GATE 2026 EE paper. It is part of the question.
Figure description

Three phase conductors carrying I_A, I_B, I_C pass through three Main CTs (300:5). The CT secondaries are star-connected: one end of each secondary goes to a common bottom bus, which is earthed. The other end of each goes out on its own lead to one of three relay resistors R, and the three R are star-connected at the right with their star point isolated. The current in the phase-A lead is I_AR. An Auxiliary Transformer (YnΔ, 2:1 on every phase) is connected in shunt: each star primary winding is connected from one lead to the earthed common bus, and the delta secondary windings are closed on themselves with no external load.

  1. (A)

    0 A

  2. (B)

    0.653 ∠17.556° A

  3. (C)

    537.240 ∠4.105° A

  4. (D)

    8.954 ∠4.105° A

Official answer

From the GATE 2026 EE paper. Every question of this paper · Download the full paper · All 5 Protection questions, with notes

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