A single phase transformer rated at $\frac{460}{240}$ to $\frac{240}{120}$ volts and $1000$ VA is going to supply a load consisting of a resistance and inductance in parallel. If the resistance is $50$ ohms and the inductive reactance is $35$ ohms, will the output power limit of the transformer be exceeded?

What is the Power Factor of question $1?$

What is the Phase Angle of question $1?$

How do the values determined to answer question $1$ through $3$ change if a $22$ ohm capacitive reactance is added in parallel to the circuit?

How much capacitance would need to be added so the Power Factor becomes $1?$

An AC motor of $15hp$@$208v$ has a Power Factor of $60\%,$ what is its current draw from the supply?

What Power Factor will reduce the current draw from the supply to be $50$ A or less?