For the circuit shown below answer the following questions F
For the circuit shown below, answer the following questions:
Find the transfer function V0(jw) / is(jw).
Find and sketch the magnitude response and describe what type of filter it looks like.
Solution
XC=1/S
XL=2S
CURRENT THROUGH THE CAPACITOR IS
IC(S)=[IS(S)*(2+2S)]/[2+2S+4+1/S]
IC(S)=[IS(S)*(2+2S)*S]/[2S^2+6S+1]
VO(S)=4*[IS(S)*(2+2S)*S]/[2S^2+6S+1]
VO(jw)/is(jw)=[4*(2+j2w)*jw]/[-2w^2+j6w+1]
