Question

Palred Quiz) 3 For ideal transformer as shown in figure P.3, determine: a. The currents I1, I2 and I3! b. The primary and secondary voltage Vu V, Vg and Va C. The complex power supplied by the source! d. The effective power dissipated by the load impedance, Zioad 812-20 Ω 1:3 18 Ω Zload 40200 v ( 45 Figure P.3 Ideal Transformer Circuit

Answer 1

A) Reflect the load to middle circuit z_L' = 8 - j 20 + (18 + j 45)3^2 = 8 - j 20 + 2 + j 5 z_L' = 10 - j 15 We now reflect this to the primary circuit so that z_in = 6 + j 4 + (10 - j 15)/n^2 = + j 4 + 10 - j 15/(5/2)^2 z_in = 6 + j 4 + 10 - j 15/6.25 = 6 + j 4 + 1.6 - j 2.4 z_in = 7.6 + j 1.6 = 7.767 angle 11.89 degree I_1 = 40 angle 0/z_in = 40 angle 0/7.767 angle 11.89 degree I_1 = 40/7.767 angle 0 - 11.89 degree I_1 = 5.15 angle - 11.89 degree A I_2 = -I_1/n = -5 15 angle - 11.89 degree A /2.5 I_2 = -2.06 angle - 11.89 degree A = -2.0158 + j 0.4244 I_2 = 2.06 angle 168.11 A I_3 = -I_2/n'