Show that the transfer function (T_{mathrm{V}}(s)=V_{2}() (s) / V_{1}(s)) of the circuit in Figure P12-41 has a

Question:

Show that the transfer function $T_{\mathrm{V}}(s)=V_{2}($ $s) / V_{1}(s)$ of the circuit in Figure P12-41 has a bandstop filter characteristic. Derive expressions relating the notch frequency and the cutoff frequencies to $R, L$, and C. Then select values of $R, L$, and $C$ so that the bandwidth is $50 \mathrm{krad} / \mathrm{s}$ and the center frequency is $100 \mathrm{krad} / \mathrm{s}$. Validate your design using Multisim.

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