# finding the current in a branch with resistor, capactor and a voltage source

I'm solving a question in Linear circuit analysis 2 class. the question is to analyze a switching circuit with inductors and capacitors. this is the circuit in the time interval $t&space;\geqslant&space;0$ drawn in S-domain using laplace tranform with initial conditions for the inductor and capacitor already considered. if I want to find $Vc(s)$, what will the current passing in the second branch from the left be?? and what would the node equation look like?

• Are VI(s) and Vc(s) actually measuring the same thing (the potential between the "top" node and the "bottom" node, or does VI(s) have its negative contact between the voltage source and the 20-ohm resistor? – The Photon May 11 at 14:52
• What is the circuit prior to t =0? – Andy aka May 11 at 15:35
• Vl is the voltage of the inductor with the voltage source in series which is the initial condition LI(0-) at t >= 0, the sane goes with the capacitor voltage with the capacitor and the current source ( initial condition CVc(0-)) , so yes, it is between the resistor and the voltage source – Obada May 11 at 16:11
• Andy, I have tried to cut everything short and give Only what is relevant to my question, What information do you need in particular? – Obada May 11 at 16:22