A closed rectangular circuit has a horizontal cross wire connecting nodes on the left and right wires. An additional vertical wire connects a node in the middle of the cross wire with a node on the bottom wire. An independent current source sits on the lower segment of the left wire, and its current i subscript g is directed upward. A $100$ microfarad capacitor sits on the top wire. A $50$ microfarad capacitor sits on the left segment of the cross wire. A $12$ ohm resistor sits on the right segment of the cross wire. A $1\mathrm{.}6$ millihenry inductor sits on the additional wire. Current i subscript o is marked downward through the inductor. An independent voltage source sits on the lower segment of the right wire. Voltage of the source is v subscript g$,$ and its upper terminal is marked as positive.