3. A 400V source (E1) [REFERENCE], with an internal impedance of +j6.4Ω, is connected across
the primary winding of an ideal transformer with α = 4 (pointing towards the polarity dot at
the top of the winding). I1 flows into the winding, which self-induces V1 across the winding.
With perfect magnetic coupling, V2 is mutually-induced across the secondary winding
(polarity dot at the bottom of the winding). For the purposes of this problem, V2 is assumed
to point towards the non-dot side of the secondary winding and causes I2 to flow out of the
non-dot when a series-combination of a 1.2Ω inductive reactance and a 1.2Ω resistance is
connected as the load impedance.
a) Sketch the circuit
b) Calculate the magnitude and phase of I1, I2, V1 and V2
c) Calculate the magnitude and phase of the total impedance seen by the source