In the circuit shown below, the transformer is driven by a source with an open circuit voltage Vs of

$120$ V $($rms$)$ and an internal impedance Zs of $6.$ The frequency of the source is $200$ rad$/$sec$.$ The

transformer drives a load consisting of a $60$ resistor.

The transformer parameters are: R$1=12,$ R$2=24,$ L$1=30$ mH$,$ L$2=120$ mH and k $=0\mathrm{.}9.$

Determine the currents I$1$ and I$2$ and the power delivered to the load.