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A three-phase synchronous motor draws 200 A from the line at unity power factor at rated load. Considering the same line voltage and load, the line current at a power factor of 0.5 leading is

1. 100 A
2. 200 A
3. 300 A
4. 400 A

Correct answer: 400 A

Solution

Real power P = V*I*pf is constant. At unity pf, I=200 A, so P proportional to 200. At pf 0.5, I = 200/0.5 = 400 A. The line current is 400 A.

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