GATE EE 2015 Set 2 — Question 57

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MCQ+2 / -0.67MediumMutual Inductance & Dot ConventionNetwork Elements & SourcesElectric CircuitsEquivalent Circuit & PhasorSingle-Phase TransformersElectrical Machines

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Question

A three-winding transformer is connected to an AC voltage source as shown in the figure. The number of turns are as follows: N1=100,N2=50,N3=50N_1 = 100, N_2 = 50, N_3 = 50. If the magnetizing current is neglected, and the currents in two windings are Iˉ2=230 A\bar{I}_2 = 2 \angle 30^\circ\text{ A} and Iˉ3=2150 A\bar{I}_3 = 2 \angle 150^\circ\text{ A}, then what is the value of the current Iˉ1\bar{I}_1 in Ampere?

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