The circuit shown in Figure P5.37 is a second-order circuit because it has two reactive components ( L and $C$ ). A complete solution will not be attempted. However, determine:
a. The behavior of the voltage frequency response at extremely high and low frequencies.
b. The output voltage $\mathbf{V}_o$ if the input voltage has a frequency where:
$$
\begin{array}{ll}
\mathbf{V}_i=7.07 \angle \frac{\pi}{4} \mathbf{v} \quad R_1=2.2 \mathrm{k} \Omega \\
R_2=3.8 \mathrm{k} \Omega & X_c=5 \mathrm{k} \Omega \quad X_L=1.25 \mathrm{k} \Omega
\end{array}
$$
c. The output voltage if the frequency of the input voltage doubles so that
$$x_C=2.5 \mathrm{k} \Omega \quad x_L=2.5 \mathrm{k} \Omega$$
d. The output voltage if the frequency of the input voltage again doubles so that
$$X_c=1.25 \mathrm{k} \Omega \quad X_L=5 \mathrm{k} \Omega$$
(FIGURE CAN'T COPY)
Figure P5.37