A load with a power factor of 0.9 lagging draws 100 MVA. What is the MW draw?

To determine the real power (MW draw) from a given apparent power (MVA) and power factor, one can use the formula:

[ \text{Real Power (MW)} = \text{Apparent Power (MVA)} \times \text{Power Factor} ]

In this case, the apparent power is 100 MVA and the power factor is 0.9 lagging. Plugging these values into the formula yields:

[ \text{Real Power (MW)} = 100 , \text{MVA} \times 0.9 = 90 , \text{MW} ]

This calculation correctly shows that the MW draw of the load is 90 MW. The 0.9 lagging power factor indicates that the load is inductive, typical for many industrial and motor-driven applications, hence further corroborating the need to recognize the real power separately from the apparent power.

The context of the other options illustrates that they either miscalculate using a misconstrued understanding of the formula or misuse the power factor correctly. The 100 MVA would represent the full apparent power, not accounting for the factor; 111 and 44 do not align with the principles of real power calculations