A load impedance for a Steady state 60 Hz AC circuit has a h

A load impedance for a Steady state 60 Hz AC circuit has a has the following characteristics: (a) the power factor at the load (b) the apparent power, S at the load (c) the average power, P at the load (d) the reactive power, Q at the load the load impedance Z_Load

Solution

3. Ans)

a) Power factor=Cos(angle between voltage and current)=Cos(35-8)=Cos(27)=0.891

So Power Factor=0.891 leading (because I leads V by 27 deg)

b)

I=15 (peak)=15/sqrt(2) (RMS)=10.6 A

in phasor I=10.6<35 deg A

V=220 (peak)=220/sqrt(2) (RMS)=155.56 A

in phasor V=155.56<8 deg A

Apparent Power S=|V|*|I|=155.56*10.6=1648.936 VA

C)Average Power P=|V|*|I|*cos(27)=155.56*10.6*0.891=1469.20 W

D) Reactive Power Q=|V|*|I|*sin(27)=155.56*10.6*0.454=748.60 VAR

Load Impedance Z=V/I=155.56<35/10.6<8=14.675 <27 deg ohms