A three-phase 12 HP motor is 90% efficient with a. 89 lagging power factor. What is the required rated input apparent power for this motor running under full load?

The required rated input apparent power is 14.98 HP

Explanation:

Real power input = real power output : efficiency

real power output = 12 HP

efficiency = 90% = 0.9

Real power input = 12 : 0.9 = 13.33 HP

Apparent power input = real power input : power factor = 13.33 : 0.89 = 14.98 HP