Exercise 9.2 An LC oscillator

a)

An answer:

$$\begin{array}{lll}\hfill H_{\beta }(\mathit{j\omega })=\frac{v_{+}-v_{-}}{v_{\mathit{out}}}=\frac{\mathit{j\omega }\left(R_{2}C-\frac{L}{R_1}\right)}{1+\mathit{j\omega }\left(R_{2}C+\frac{L}{R_1}\right)+j^2{\omega }^2\frac{R_2}{R_1}\mathit{CL}}& & \hfill \end{array}$$

b)

An answer:

$$\begin{array}{lll}\hfill {\omega }_{\mathit{osc}}=\sqrt{\frac{R_1}{R_2\mathit{LC}}}& & \hfill \end{array}$$

c)

An answer:

$$\begin{array}{lll}\hfill A=\frac{R_1{R}_{2}C+L}{R_1{R}_{2}C-L}& & \hfill \end{array}$$