(Solved): Consider a factory that operates with a poor (low) power factor. The operator can install a capaci ...

Consider a factory that operates with a poor (low) power factor. The operator can install a capacitor connected in parallel with the load to improve the power factor and reduce the power cost. Question: what is the value of the capacitor in parallel? The factory load is: $${\mathrm{P}}_{\text{load }}:=150\mathrm{kW}{\mathrm{pf}}_{\text{load }}:=0.65\text{ inductive }{\mathrm{V}}_{\text{load }}:=7.2\mathrm{kV}$$ The desired power factor is: $${\mathrm{pf}}_{\text{sup }}:=0.9$$ (lagging).