In the circuit below, the switch reaches a steady state while in position 1 then at t = 0 gets thrown to position 2. I am supposed to find the voltage (s-domain) across the capacitor under these conditions using thev. theorem I just want to make sure I am approaching the problem with the correct methods: 1. Find initial conditions using the properties that an inductor is shorted in steady state and a capacitor is open circuit I got i(0) = 5 A v(0) = 5 V 2. Transform the circuit to the s-domain, adding an independent voltage source with voltage = 10 (from inductor). Remove the capacitor to make it an open circuit. Find VTH via voltage divider equation. 3. Find Zeq by shutting off all independent sources. Zeq = 2 + (1 || (1 + 2s)) 4. Recreate the circuit with VTH and Zeq in a loop with the 1/2 F capacitor and 5/s V independent voltage source from the initial conditions (steady state). 5. KCL to get current 6. voltage across the cap = current * capacitor value in s domain mainly i want to know if my initial conditions are correct and if i'm using them correctly.