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The poles and zeros of the network shown below are as follows: Poles at $-1+j \sqrt{5},-1-j \sqrt{5}$, zeros at $-1,-3$ and the scale factor is $K$. If $Z(0)=1$. Find the values of $R, R_1, L$ and $C$

Find the values of $R, R_1, L$ and $C$.

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Solution:

$ \begin{aligned} \\ &\begin{aligned} \\ &\text { Given } \\\\ &\text { poles } \Rightarrow-1+j \sqrt{5} ;-1-j \sqrt{5} \\ \end{aligned}\\\\ &\therefore \text { polefactors }=(s+1-j \sqrt{5})(s+1+j \sqrt{5})\\\\ &=(5+1)^2-(j \sqrt{5})^2\\\\ &=s^2+2 s+1+5\\\\ &=s^2+2 s+6\\\\ &\text { zeras } \Rightarrow-1,-3\\\\ &\text { Zero factors }=(s+1)(s+3) \\ &=(s^2+4 s+3)\\\\ &T \cdot F …

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