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 drawn in S-domain using laplace tranform with initial conditions for the inductor and capacitor already considered. if I want to find , what will the current passing in the second branch from the left be?? and what would the node equation look like?
In your circuit Vc(s) is impressed across each of the 5 branches. You can write a node equation on that top node fairly easily. The current leaving that node in the leftmost branch is Vc(s)/20. Look carefully at the second branch from left and you will see that the current flowing down that branch is [Vc(s) + 1V]/(20+2s). You should be able to work it out from this point.