3.C] Deduce the relationship between the phase and the line voltages of a three-phase star-connected system.
Consider a balanced star-connected load as shown in fig.
![3.C] Deduce the relationship between the phase and the line voltages of a three-phase star-connected system.](https://vtuupdates.com/wp-content/uploads/2022/09/image-119.png)
![3.C] Deduce the relationship between the phase and the line voltages of a three-phase star-connected system.](https://vtuupdates.com/wp-content/uploads/2022/09/image-120.png)
![3.C] Deduce the relationship between the phase and the line voltages of a three-phase star-connected system.](https://vtuupdates.com/wp-content/uploads/2022/09/image-121.png)
The three phase voltages are displaced by 120° from each other. The phasor diagram to get
VRY is shown in the above. The VY is reversed to get −VY and then it is added to VR to get VRY.
The perpendicular is drawn from point A on vector OB representing VL. In triangle OAB, the
sides OA and AB are same as phase voltages. Hence OB bisects angle between VR and −VY.
![3.C] Deduce the relationship between the phase and the line voltages of a three-phase star-connected system.](https://vtuupdates.com/wp-content/uploads/2022/09/image-122.png)
