The circuit below is given:
R1=10 Ohms, L1=L2=5 Henry and C=0.01 Farads.
Suppose the input voltage
x(t) = X exp(s t), and the corresponding output is
y(t)= Y exp(st).
1.1 Using Thevenin equivalent circuit at the output,
derive the transfer function
H(s)=Y/X as a ratio of
polynomials in s:
H(s)=n(s)/d(s)
1.2 Plot the gain and Phase
of H(jw) using matlab.
1.3 What kind of filter is this?
1.4 Derive the roots of n(s)
and d(s) and show them in a complex plane.
