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A generator station supplies power to the following: lighting 100 kW; an induction motor with 400 h.p. (298.4 kW) power factor of 0.8, an efficiency

A generator station supplies power to the following: lighting 100 kW; an induction motor with 400 h.p. (298.4 kW) power factor of 0.8, an efficiency of 0.92, a rotary converter giving 100 A at 800 V at an efficiency of 0.94. What must be the p.f. of the rotary converter in order that the p.f. of the supply station may be unity? 

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