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Answer :
The power factor of the load, when a 66.7 MVA transformer is operating at full power with an efficiency of 99.3%, is 0.993.
The question is asking for the power factor of a load when a 66.7 MVA transformer is operating at full power with an efficiency of 99.3%. The power factor can be calculated from the real power and the apparent power (which is the product of voltage and current). In this case, the apparent power is given as 66.7 MVA, and the efficiency tells us that the real power is 99.3% of that value.
Now, efficiency can be expressed as (Real Power/Apparent Power) imes 100%, which means Power Factor (since Power Factor is also Real Power/Apparent Power). Thus, Power Factor = Efficiency/100. Substituting the given efficiency of 99.3%, we get: Power Factor = 0.993. Hence, the load's power factor is 0.993, indicating it is nearly purely resistive, with only a small inductive or capacitive component.
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