Consider the JFET amplifier in Figure 4.53 with transistor parameters (I_{D S S}=6 mathrm{~mA}, V_{P}=-3 mathrm{~V}), and

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Consider the JFET amplifier in Figure 4.53 with transistor parameters \(I_{D S S}=6 \mathrm{~mA}, V_{P}=-3 \mathrm{~V}\), and \(\lambda=0.01 \mathrm{~V}^{-1}\). Let \(V_{D D}=10 \mathrm{~V}\).

(a) Determine \(R_{D}\) and \(V_{G S}\) such that \(I_{D Q}=4 \mathrm{~mA}\) and \(V_{D S Q}=6 \mathrm{~V}\).

(b) Determine \(g_{m}\) and \(r_{o}\) at the \(Q\)-point.

(c) Determine the small-signal voltage gain \(A_{v}=v_{o} / v_{i}\) where \(v_{o}\) is the time-varying portion of the output voltage \(v_{O}\).

Figure 4.53:-

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