In the handstop (notch) filter shom in Figure P6.31:
$$
\begin{array}{lc}
L=0.4 \mathrm{mH} & R_{\varepsilon}=100 \Omega \\
C=1 \mathrm{pF} & R_\alpha=R_{\perp}=3.8 \mathrm{k} \Omega
\end{array}
$$
Determine:
a. An expression for the voltage transfer fiunction or gain in the form:
$$
H_i(j \omega)=\frac{V_s(j \omega)}{V_i(j \omega)}=H_0 \frac{1+j f_1(\omega)}{1+J f_2(\omega)}
$$
b. The magnitude of the voltage transfer function or gain at high and low frequencies and at the resonant frequency.
c. The resonamt frequency.
d. The four cutoff frequencies.
Figure P6.31