Question
Realize the transfer function\[\frac{V_{o}(s)}{V_{i}(s)}=\frac{5}{s^{2}+6 s+25}\]using the circuit in Fig. $15.89 .$ Choose $R_{1}=4 \Omega$ and $R_{2}=1 \Omega,$ and determine $L$ and $C$.
Step 1
The impedance Z(s) is given by the parallel combination of the capacitor and the series combination of the resistor R2 and the inductor L. This can be written as: \[Z(s) = \frac{1}{sC} || (R_2 + sL) = \frac{R_2 + sL}{1 + s^2LC + sR_2C}\] Show more…
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