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A balanced (positive sequence) three-phase $AC$ voltage source is connected to a balanced, star connected load through a star-delta transformer as shown in the figure. The line-to-line voltage rating is $230$ V on the star side, and $115$ V on the delta side. If the magnetizing current is neglected and $\overline{I}_{s}=100 \angle 0^\circ$ A, then what is the value of $\overline{I}_{p}$ in Ampere?

  1. $50\angle 30^\circ$
  2. $50\angle- 30^\circ$
  3. $50\sqrt{3}\angle 30^\circ$
  4. $200\angle 30^\circ$
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