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

A balanced three-phase resistive load is connected in delta. One of the three line wires opens. Compared with the original total power, the power now absorbed is

  1. one-third
  2. two-thirds
  3. unchanged
  4. one-half

Answer

D. one-half

Solution

With one line open, the phase between the two remaining lines has one resistor R in parallel with the other two in series (2R): Req=2R/3. The power is VL2Req=3VL2/2R, while originally it was 3VL2/R. The new power is one-half of the original.

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