A backup generator is connected to a three-phase 240-V line and it is driven by a 20-hp diesel engine. The generator has 90% efficiency (which means it can convert 90% of input mechanical power to output electrical power). The output power is 0.7 power-factor lagging.
(1) Find the values of P and Q inject to the line.
(2) If we want to correct the power factor to 0.9 lagging, what is the value of Q we need to inject.