The transfer function of RLC circuit will be derived using input voltage vs. voltage across capacitor (1) or input voltage vs. current (2):
(1) Considering Vout vs. Vin a simple series RLC circuitry:
Vout/Vin = 1/(LCs^2+RCs+1) can be also written as (1/LC)/(s^2+R/L+1/LC)
(2) The relationship between current and input voltage then,
I/Vin = 1/(R+Ls+1/Cs)
OR
I/Vin = Cs/(CLs^2+CRs+1)
R = 100; % Ohm
L = 20; % H
C = 1e-6; % F
NUM1 = 1;
DEN1 = [L*C R*C 1];
TF1 = tf(NUM1, DEN1)
NUM2 = [C 0];
DEN2 = [C*L R*C 1];
TF2 = tf(NUM2, DEN2)
