For the circuit in Fig. $15\mathrm{.}57,($a$)$ determine the transfer function $H(s)=\frac{V_{\text{o}\text{u}\text{t}}}{V_{in}}$ in terms of circuit parameters $R_1,R_2,R_3,L_1,$ and $L_2$;$(b)$ determine the magnitude and phase of the transfer function at $=0,3{10}^{3}ra\frac{d}{s},$ and as $$ for the case where circuit values are $R_1=2k,R_2=2k,R_3=20k,L_1=2H,$ and $L_2=2H.$

FIGURE $15\mathrm{.}57$