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.
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