A three-winding transformer is connected to an AC voltage source as shown in the figure. The number of turns are as follows: \({N_1} = 100,\;{N_2} = 50,\;{N_3} = 50\). If the magnetizing current is neglected, and the currents in two windings are \({\bar I_2} = 2\angle 30^\circ A\;and\;{\bar I_3} = 2\angle 150^\circ A\), then what is the value of the current \({\bar I_1}\) in Ampere?

A three-winding transformer is connected to an AC voltage source as sh

1.	A three-winding transformer is connected to an AC voltage source as shown in the figure. The number of turns are as follows: \({N_1} = 100,\;{N_2} = 50,\;{N_3} = 50\). If the magnetizing current is neglected, and the currents in two windings are \({\bar I_2} = 2\angle 30^\circ A\;and\;{\bar I_3} = 2\angle 150^\circ A\), then what is the value of the current \({\bar I_1}\) in Ampere?
A.	\(1\angle 90^\circ\)
B.	\(1\angle 270^\circ\)
C.	\(4\angle 90^\circ\)
D.	\(4\angle 270^\circ\)
Answer» B. \(1\angle 270^\circ\)