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A $20$-pole alternator is having $180$ identical stator slots with $6$ conductors in each slot. All the coils of a phase are in series. If the coils are connected to realize single-phase winding, the generated voltage is $V_1$. If the coils are reconnected to realize three-phase star-connected winding, the generated phase voltage is $V_2$. Assuming full pitch, single-layer winding, the ratio $V_1/V_2$ is

  1. $\dfrac{1}{\sqrt{3}} \\$
  2. $\dfrac{1}{2} \\$
  3. $\sqrt{3} \\$
  4. $2$
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