a)
Inductive reactance is given by
XL =2pifL =2pi*50*(108*10-3) = 33.93 ohms
Capacitive reactance is given by
XC =1/2pifC =1/2pi*50*(235*10-6) =13.545 ohms
impedance is given by
Z=sqrt[R2+(XL-XC)2]
Z=sqrt[16.42+(33.93-13.545)2]
Z=26.162 ohms
Total Current is given by
I=V/Z =124/26.162 =4.74 A
Rms current is
Irms=4.74/sqrt(2) =3.35 A
Power dissipated in resistor is given by
P=I2R=3.352*16.4 =184.2 Watts
b)
Power Factor is given by
PF =Coso= R/Z =16.4/26.162 = 0.62685
c)
Inductive reactance is given by
XL =2pifL =2pi*60*(108*10-3) = 40.715 ohms
Capacitive reactance is given by
XC =1/2pifC =1/2pi*60*(235*10-6) =11.288 ohms
impedance is given by
Z=sqrt[R2+(XL-XC)2]
Z=sqrt[16.42+(40.715-11.288)2]
Z=33.69 ohms
Total Current is given by
I=V/Z =124/33.69=3.68 A
Rms current is
Irms=3.68/sqrt(2) =2.603 A
Power dissipated in resistor is given by
P=I2R=2.6032*16.4 =111.1 Watts
d)
Power Factor is given by
PF =Coso= R/Z =16.4/33.69= 0.4868
An AC voltage with an amplitude of 124 V is applied to a series combination of...
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