Answer to Question #167948 in Electrical Engineering for jim

Question

A 228/-30 volt constant potential generator delivers load to an impedance. Assuming the reactance only to be variable and the line impedance is (6 + j4.5) ohms, calculate for maximum power transfer: a) the load impedance, b) the current, and c) the load power and power factor.

Answer 1

a) For maximum power transfer the load impedance $=6-j4.5$

b) The current $=228/12= 19A$

c) The load power$=I^2R=19^2\times6=2166W$

The load power factor is $Cos(tan^{-1}(4.5/6) )=cos36.86\degree=0.8lead$