Problem 35.67 You\'re the operator of a 15,000 V rms, 60 Hz electrical substatio

Question

Problem 35.67 You're the operator of a 15,000 V rms, 60 Hz electrical substation. When you get to work one day, you see that the station is delivering 6.10 MW of power with a power factor of 0.920. Convert this number to Rectangular notation: 25 previous 2 Part A What is the rms current leaving the station? Express your answer with the appropriate units. Value Units Submit My Answers Give Up Part B How much series capacitance should you add to bring the power factor up to 1.0? Express your answer with the appropriate units. Value Units Submit My Answers Give Up Physics Chegg

Explanation / Answer

solving

power=Vrms*Irms*power factor

power factor=cos(theta)

6.1*10^6=15000*Irms*0.92

Irms=442.02 A

apparent power=15000*442.02*sin(theta)

sin(theta)=sqrt(1-0.92^2)=0.392

apparent power=2.59*10^6 W

Apparent power when power factor is 1=0

Capacitance Required=2.59 MW

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