Engineering Board Exam Reviewer · Three-Phase Systems in Power Applications · hard

In a balanced three-phase system with abc (positive) phase sequence, VAN=120 0° V. Find the line voltage VBC=VBN-VCN in polar form.

  1. 208 90° V
  2. 208 30° V
  3. 208 -90° V
  4. 120 -90° V

Answer

C. 208 -90° V

Solution

VBN=120 -120° and VCN=120 120°. VBC=VBN-VCN=(-60-j103.9)-(-60+j103.9)=-j207.8=207.8 -90° V.

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