OK...This is not the problem I had before but it is very similar.
A certain load takes 10kW @ 0.5 pf lagging when connected to a 230V, 60Hz source. The suply company charges a penalty when the power factor falls below 0.8. What size of capacitor must be used in order to avoid penalty?
That is the problem statement and, believe me, it is a very common concept evaluated in the PE test. Caution note:
They are asking the size of the capacitor needed to bring the pf to 0.8.
Here is the solution
PF_Solution.pdf
Good luck!!!!