In the circuit of Figure P6.14:
$$
\begin{aligned}
R_1 & =1.3 \mathrm{k} \Omega \quad R_2=1.9 \mathrm{k} \Omega \\
C & =0.5182 \mu \mathrm{~F}
\end{aligned}
$$
Determine:
a. How the voltage transfer function:
$$
H_V(j \omega)=\frac{\mathbf{V}_0(j \omega)}{\mathbf{V}_i(j \omega)}
$$
behaves at extremes of high and low frequencies.
b. An expression for the voltage transfer function and show that it can be manipulated into the form:
$$
H_v(j \omega)=\frac{H_o}{1+j f(\omega)}
$$
where
$$
H_o=\frac{R_2}{R_1+R_2} \quad f(\omega)=\frac{\omega R_1 R_2 C}{R_1+R_2}
$$
c. The cutoff frequency at which $f(\omega)=1$ and the value of $H_v$ in dB .
d. The value of the voltage transfer function at the cutoff frequency and at $\omega=25 \mathrm{rad} / \mathrm{s}, 250 \mathrm{rad} / \mathrm{s}$, 25 krads , and $250 \mathrm{krad} / \mathrm{s}$.
e. How the magnitude (in dB ) and the angle of the transfer function behave at low frequencies, the cutoff frequency, and high frequencies.