You are assigned a task to design a series, passive \(R L C\) circuit with a characteristic equation of \(s^{2}+2000 s+5 \times 10^{6}=0\). To save money, your supervisor wants you to use a previously purchased \(150-\mathrm{mH}\) inductor with a 10-2 parasitic resistance.

The \(R L C\) circuit will be used to interface to a Thévenin source with a 75-2 series output resistance. Your circuit must demonstrate the desired response with the source circuit connected.