Given the following information determine the power factor o

Given the following information, determine the power factor of the load shown. p_l 600W. -- 120V. o.

a) I=6A,P=600 W,V=120 V

P=VICOSq

600=120*6*cosq

power factor=cosq=0.833

b) v=100<45,i=5<60

power factor=cosine of angle between voltage and current.

power factor=cosq=cos(60-45)=0.965

c)v(t)=99cos(wt+20)

v=99<20

i(t)=1.414cos(wt+10)

i=1.414<10

power factor=cosq=cos(20-10)=0.984

d) i=4.5<30

zl=330<50

v=i*zl=4.5<30*330<50=1485<80

power factor=cosq=cos(80-30)=0.642

e) pl=2000 w

v=500 v

re(z)=80 ohms

cosq=cos[inverse tan(imaginary part of z/real part of z)]

cosq=cos[inverse tan of 0]=1