1. The problem statement, all variables and given/known data everything's in the picture. 2. Relevant equations V=I*R Ic=Iin*R/(R+C) 3. The attempt at a solution Ok, I think I got the first part alright. I found the current in terms of Vin to be: Vin/(25+(22.5*225/s)/(22.5+225/s)) which simplifies to Vin*(s+10)/(225s+475). Now that I have current I can use the current divider rule to find Ic and then multiply Ic by C to get Vc. By doing that I get the equation [Vin*(s+10)/(225s+475)]*[22.5s/(225/s+22.5)]*225/s. After much simplification I get Vc=9*Vin/(s+19). I divide that by Vin and get 9/(s+19). Setting the bottom equal to zero I get a pole at s=-19. Setting the entire thing equal to zero I get a zero at s=+or- infinity. Once I get to the 2nd part I'm a bit confused... if Vin=45 at an angle of 0o, is my Vc(t) just simply equal to 45*9/(0+19) since no s is given?