The transistor in the circuit in Figure P4.44 has parameters (V_{T N}=0.4 mathrm{~V}), (K_{n}=0.5 mathrm{~mA} / mathrm{V}^{2}),

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The transistor in the circuit in Figure P4.44 has parameters \(V_{T N}=0.4 \mathrm{~V}\), \(K_{n}=0.5 \mathrm{~mA} / \mathrm{V}^{2}\), and \(\lambda=0\). The circuit parameters are \(V_{D D}=3 \mathrm{~V}\) and \(R_{i}=300 \mathrm{k} \Omega\).

(a) Design the circuit such that \(I_{D Q}=0.25 \mathrm{~mA}\) and \(V_{D S Q}=1.5 \mathrm{~V}\).

(b) Determine the small-signal voltage gain and the output resistance \(R_{o}\).

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