Figure Q3c shows an RLC network that was under steady-state condition for some time with switch S closed and switch S opened.
S and S condition; t > 0 t < 0
R
I
R,
= 5V
R. R, WW WW Figure Q3c
If the capacitor voltage vc(t) is treated as output and the voltage vz(t) as input, determine the following: dVc(0-) i) The initial voltage vc(0) and dt ii) The differential equation relating the input-output relationship for to iii) The zero-input response using the time domain method if the component values R = 1Ω, R4 = C = 1F, and L = 1H.