Suppose a synchronous generator is supplying power at (RMS) voltage V to a load characterized by impedance Z₀ = R₀ + iX₀ = z₀e^iφ0, when an inductive load with negligible resistance Z₁ = iωL is added in parallel with the original load. Show that the real power delivered by the generator does not change. What is the change in reactive power? Similarly show that if a purely resistive load Z₁ = R₁ is added in parallel to the original load, the reactive power in the circuit does not change and compute the change in the real power.