Consider the source-follower JFET amplifier in Figure P4.77 with transistor parameters \(I_{D S S}=10 \mathrm{~mA}, V_{P}=-5 \mathrm{~V}\), and \(\lambda=0.01 \mathrm{~V}^{-1}\). Let \(V_{D D}=12 \mathrm{~V}\) and \(R_{L}=0.5 \mathrm{k} \Omega\).

(a) Design the circuit such that \(R_{\text {in }}=100 \mathrm{k} \Omega\), and the \(Q\)-point is at \(I_{D Q}=I_{D S S} / 2\) and \(V_{D S Q}=V_{D D} / 2\).

(b) Determine the resulting small-signal voltage gain \(A_{v}=v_{o} / v_{i}\) and the output resistance \(R_{o}\).

Rin CC1 +1 VDD R www ww R Figure P4.77 Ro CC2 RL Rs ww