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(1) What is the apparent power provided by the source (integer number needed)? P

ID: 1811146 • Letter: #

Question


(1) What is the apparent power provided by the source (integer number needed)? P=---VA


(2)Please determine the average power delivered by the source (integer number needed). Psource =----Watts


(3)Please determine the apparent power across the load (integer number needed)Papp=---VA


(4)Please determine the power factor of the source with respect to the rest of the circuit (one decimal place needed). pf =


(5)This power factor is leading (capacitive)= (True/False)


(6)Please determine the average power dissipated in the load (integer number needed) Pload = ---- Watts

Explanation / Answer

Vm = 100 sqrt(2)

Z = 5 - j10 + 3+4j = 8 - 6j   

= 10 angle(-36.87)--------------Polar form


1) Im = Vm/|z| = 10sart(2) angle(36.87)

Vrms = Vm/sqrt(2) = 100

Irms = Im/sqrt(2) = 10 angle(36.87)

S = Vrms*Irms = 100*10 = 1000 VA


2)Real Power, = Irms^2 * R = 10^2 * 8

= 800 W

3) |ZL| = 5

Papp = Irms^2 *|ZL|

= 10^2 * 5 = 500 VA


4)Impedance is given as

Z = 8 - j6

Power factor = R/Z = 8/10 = 0.8


5) TRUE

Since Z = 8 - j6 . The reactive component is capacitive in nature


6)Power in load = Irms^2 * ZLR

= 10^2 * 3 = 300 W