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Given a 208 V three-phase system, find all six voltages for a phase sequence of abc.

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Final answer:

The student's question involves finding six voltages in a 208 V three-phase system with a phase sequence of abc, including three line-to-line and three line-to-neutral voltages.

Step-by-step explanation:

The question pertains to a 208 V three-phase electrical system and the student is asked to find all six voltages given a phase sequence of abc. In a three-phase system, each phase voltage is 120 degrees out of phase with the other phases. The given phase sequence abc indicates the order in which the phases reach their peak values. The six voltages in a three-phase system consist of three line-to-line voltages and three line-to-neutral voltages.

For the phase sequence abc, the voltages can be represented as follows:

  • Vab (voltage between phase a and phase b)
  • Vbc (voltage between phase b and phase c)
  • Vca (voltage between phase c and phase a)
  • VaN (voltage from phase a to neutral)
  • VbN (voltage from phase b to neutral)
  • VcN (voltage from phase c to neutral)

To calculate these voltages, you will use the known line-to-neutral voltage (208 V divided by the square root of 3) and apply trigonometric identities to find the voltages based on their phase relationships.

User Yosef Bernal
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