The switch is initially open, closes at t = 0, and then reopens at t = 0.5. Find iL(t).
The Attempt at a Solution
i really have no idea how to do this. i have a series RLC circuit at t=0-, t=0.5 and the circuit with the 18V source at t=0, t=0.5-.
I got iL(0)=iL(0-)=0
iL'(0.5)=vL(0.5)/L=15/2 = 7.5 A/s
a = R/2L (series)= 7ohm/4 = 1.75
w0 = LC^(-1/2)=1/sqrt(2/17)=2.92
underdamped because a<w0.
so far is this right? and also i have no idea how to find a single equation iL(t) for t=0-, t=1.5-, and also t=infinity. what do i do??