Chapter 14, Problem 12P

(a)

To determine

Find the expression for the transfer function $H\left(s\right)$ of the given filter circuit.

(b)

To determine

Find the value of the frequency at which the magnitude of $H\left(j\omega \right)$ will be maximum.

(c)

To determine

Find the maximum value of the magnitude of $H\left(j\omega \right)$.

(d)

To determine

Find the value of the frequency at which the magnitude of $H\left(j\omega \right)$ will be equal to its maximum value divided by $\sqrt{2}$.

(e)

To determine

Find the value of the cutoff frequency and the transfer function $H\left(j\omega \right)$ at ${\omega }_c$, $0.125{\omega }_c$ and $8{\omega }_c$.