Homework 4 ELET 280 William Crenshaw 4.4 a. 50,000/2400=I1 = 20.84A 50,000/240=I2 = 208.4A b. V1/V2=N1/N2=I2/I1 2400/240=N1/50 N1=500 turns c. (V1/(N1*2*3.1415*f))*sqrt(2) = 0.018 Wb 4.7 a. N1/N2=I2/I1=V1/V2 Zl'=(N1/N2)^2*(ZL) V1=6 Zl'=4000 ohms Zl=100 ohms 4000=(N1/N2)^2*(100) N1/N2 = 6.32 turns b. I1=V1/(Zl+Zl') = 6/(4000+4000) = 0.75mA I1*(N1/N2)=I2 = 0.75mA=I2/(2*sqrt(10)) = 0.00474 A I2*100=V2 = 3/(2*sqrt(10)) = 0.474V V2^2/Zl = 2.25 mW 4.16 theda = cos^-1(Poc/(Voc*Ioc)) Im = Ioc*sin(theda) Iw = Ioc*cos(theda) Xm=Voc/Im Rc=Voc/Iw R12=Wsc/(Isc^2) Z12=Vsc/Isc X12=sqrt(Z12^2-R12^2) theda = cos^-1(Poc/(Voc*Ioc)) = 68.28 degrees Im=0.2083*sin(theda)=0.1935A Xm=2400/Im = j12402.31 ohms Iw=0.2083*cos(theda)=0.0771A Rc=2400/Iw = 31135.14 ohms R12=615/(20.8333^2) = 1.417 ohms Z12=52/20.8333=2.496 ohms X12=sqrt(2.496^2-1.417^2) = j2.055 ohms