# Homework Help: Transfer Function and Steady State Response (Some S-domain)

1. Oct 21, 2012

### DrummingAtom

1. The problem statement, all variables and given/known data

V1 = 5cos(1400t) V
R = 100 Ω
L = 25 mH
C = 20 μF

2. Relevant equations

L = Ls
C = 1/Cs

3. The attempt at a solution

I first solved for the transfer function T(s):

$T(s) = \frac{LCs^2 + 1}{LCs^2 + RCs +1}$

From here I can plug in jω into T(s) --> T(jω)

After I plug in all the numbers for the given values and ω = 1400. I end up getting an extremely small number as an amplitude with a phase shift of almost -90. Does this seem right? I simulated this in LT Spice and it's showing around 4.5 V for Vo.

Thanks for any help

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