Laplace of derivative is done 'by parts'
http://en.wikipedia.org/wiki/Laplace_transform#Example_.231:_Solving_a_differential_equation
First Order Differential circuit simulation using PSIM
In gmail attachment.
3. Need to read this
http://www.ecircuitcenter.com/Circuits/cmodel1/cmodel1.htm
EDIT--------------------------------------------------------------------
Tried it on circuit maker and PSIM, doesn't really explain it clearly.
So I decided to do V(s) = I(s)Z(s)
So V(s)/I(s) = Z(s)
Z(s) = (L*C*s^2 R*C*s 1)/( C*s )
Did a bode plot of this using MATLAB
---------- start of MATLAB code -----------
L = 25.3e-9
R = 0.03
C = 1e-6
num = [L*C R*C 1]
den = [C 0]
sys = tf(num,den)
bode(sys)
grid on
---------- end of MATLAB code ------------
See gmail for attachment - RLC capacitor
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