A transformer operating in the sinusoidal steady state has inductances \(L_{1}=800 \mathrm{mH}, L_{2}=320 \mathrm{mH}\), and \(M=500\) \(\mathrm{mH}\). A load \(Z_{\mathrm{L}}=6+j\) o \(\Omega\) is connected across the secondary. The \(60-\mathrm{Hz}\) voltage source connected to the primary side has a peak amplitude of \(250 \mathrm{~V}\). Find the impedance seen by the voltage source and the average power delivered to the load.