You have a task of designing a load that ensures maximum power is delivered to it. The load needs to be connected to a source circuit that is not readily observable, but that you can make measurements at its output terminals. You measure the open-circuit voltage and read \(120 \angle 0^{\circ} \mathrm{V}\). You then connect a known load of \(100+j 100 \Omega\) and you measure \(47.1 \angle 11.3^{\circ} \mathrm{V}\) across it.

(a) Design your load for maximum power transfer.

(b) Find the maximum average power delivered to your load.