(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

everything's in the picture.

2. Relevant equations

V=I*R

I_{c}=I_{in}*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 V_{in}to be: V_{in}/(25+(22.5*225/s)/(22.5+225/s)) which simplifies to V_{in}*(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 [V_{in}*(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 V_{in}=45 at an angle of 0^{o}, is my Vc(t) just simply equal to 45*9/(0+19) since no s is given?

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# Homework Help: Find V(s) and V(t)

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