Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

HW#2-due date: (15/07/1439) 1. For the following circuit, determine the true pow

ID: 2033926 • Letter: H

Question

HW#2-due date: (15/07/1439) 1. For the following circuit, determine the true power, reactive power and apparent power. R- 200 230 V 2. A load is connected to a voltage of 1320 volts at 60 Hz. The load dissipates 100 kW with a 0.867 power factor. Specify the capacitance needed to correct the power factor to being 1. 8. Consider a circuit for a single-phase AC power system, where a 200 volt AC voltage source is delivering power to a loads. Find the true power, reactive power and apparent power delivered by 150 mA current. (Impedance phase angle ?-300)

Explanation / Answer

1)

Impedance Z = sqrt(R2 + Zl2) = sqrt(202 + 32) = 20.22 ohm

Thus, current I = V/Z = 230/20.22 = 11.37 A

True Power = I2R

= 11.372 * 20 = 2586.8W

Reactive power = I2ZL

= 11.372 * 3 = 387.8 W

Apparent power = I2Z

= 11.372 * 20.22

= 2614W