Capacitance

A 30-kw load is powered by a 60-Hz, 480-VRMS line with a power factor of 0.8 lag . Calculate the parallel capacitance required to correct the power factor to 0.9

A 100-kw load is powered by a 60-Hz, 480- VRMS line with a power factor of 0.5 lag . To correct the power factor a 100-uF capacitor bank is placed in parallel to the load. What is the new power factor?