Homework 1 ENGR 4230: Power Systems 20 pts Due: Wednesday 01/26/2022 by 4 PM Problem 1: In the circuit shown, assume that R = 100Ω, XL = 5, and XC = 2. If the voltage input is 110 ∠ 0◦ , calculate all the phasor quantities (currents and voltages) in the circuit. Problem 2: When connected to a 110 Vrms, 50 Hz power line, a load absorbs 1 kW at a lagging power factor of 0.7. Find the value of capacitance required to increase the power factor to 0.9. Problem 3: When connected to a 120 Vrms, 60 Hz power line, a load absorbs 2 kW at a lagging power factor of 0.5. Find the value of capacitance required to increase the power factor to 0.75. 1