A manufacturing plant uses 2.49 kW of electric power provided bya 60.0 Hz ac generator with an rms voltage of 470 V . The plantuses this power to run a number of high-inductance electric motors.The plant's total resistance is R = 30.0 Ω and its inductivereactance is XL = 42.0 Ω .
A) What is the total impedance of the plant?
B) What is the plant's power factor?
C) What is the rms current used by the plant?
D) What capacitance, connected in series with the power line,will increase the plant's power factor to unity?
E) If the power factor is unity, how much current is needed toprovide the 2.49 kW of power needed by the plant?
F) Compare the current found in part E with the current found inpart C. (Because power-line losses are proportional to the squareof the current, a utility company will charge an industrial userwith a low power factor a higher rate per kWh than a company with apower factor close to unity.)
